Natural number
500 (five hundred ) is the
natural number following
499 and preceding
501 .
500 = 22 × 53 . It is an
Achilles number and an
Harshad number , meaning it is divisible by the sum of its digits. It is the number of planar partitions of 10.
[1]
Five hundred is also
Monkey (UK slang for £500; US slang for $500)
[2]
501 = 3 × 167. It is:
the sum of the first 18 primes (a term of the sequence
OEIS :
A007504 ).
palindromic in bases 9 (6169 ) and 20 (15120 ).
502 = 2 ×
251
vertically symmetric number (sequence
A053701 in the
OEIS )
503 is:
504 = 23 × 32 × 7. It is:
∑
n
=
0
10
504
n
{\displaystyle \sum _{n=0}^{10}{504}^{n}}
is prime
[12]
506 = 2 × 11 × 23. It is:
10
506
−
10
253
−
1
{\displaystyle 10^{506}-10^{253}-1}
is a prime number. Its decimal expansion is 252 nines, an eight, and 253 more nines.
507 = 3 × 132 = 232 - 23 + 1, which makes it a central polygonal number
[16]
The age
Ming had before dying.
508 = 22 × 127, sum of four consecutive primes (113 + 127 + 131 + 137), number of graphical forest partitions of 30,
[17] since 508 = 222 + 22 + 2 it is the maximum number of regions into which 23
intersecting circles divide the plane .
[18]
509 is:
510 = 2 × 3 × 5 × 17. It is:
the sum of eight consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
the sum of ten consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71).
the sum of twelve consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67).
a
nontotient .
a
sparsely totient number .
[20]
a Harshad number.
the number of nonempty proper subsets of an 9-element set.
[21]
511 = 7 × 73. It is:
512 = 83 = 29 . It is:
513 = 33 × 19. It is:
514 = 2 × 257, it is:
515 = 5 × 103, it is:
the sum of nine consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73).
the number of complete compositions of 11.
[24]
516 = 22 × 3 × 43, it is:
517 = 11 × 47, it is:
the sum of five consecutive primes (97 + 101 + 103 + 107 + 109).
a
Smith number .
[26]
518 = 2 × 7 × 37, it is:
= 51 + 12 + 83 (a property shared with
175 and 598).
a sphenic number.
a nontotient.
an untouchable number.
[25]
palindromic and a repdigit in bases 6 (22226 ) and 36 (EE36 ).
a Harshad number.
519 = 3 × 173, it is:
the sum of three consecutive primes (167 + 173 + 179)
palindromic in bases 9 (6369 ) and 12 (37312 )
a
D-number .
[27]
520 = 23 × 5 × 13. It is:
521 is:
a
Lucas prime .
[28]
A
Mersenne exponent , i.e. 2521 −1 is prime.
a Chen prime.
an Eisenstein prime with no imaginary part.
palindromic in bases 11 (43411 ) and 20 (16120 ).
4521 - 3521 is prime
522 = 2 × 32 × 29. It is:
the sum of six consecutive primes (73 + 79 + 83 + 89 + 97 + 101).
a repdigit in bases 28 (II28 ) and 57 (9957 ).
a Harshad number.
number of series-parallel networks with 8 unlabeled edges.
[30]
523 is:
524 = 22 × 131
number of partitions of 44 into powers of 2
[32]
525 = 3 × 52 × 7. It is
palindromic in base ten, as well as the fifty-fifth
self number greater than 1 in
decimal .
[33] It is also:
525 is the number of scan lines in the
NTSC television standard.
526 = 2 × 263,
centered pentagonal number ,
[36] nontotient, Smith number
[26]
527 = 17 × 31. it is:
palindromic in base 15 (25215 )
number of diagonals in a 34-gon
[37]
also, the section of the US Tax Code regulating
soft money political campaigning (see
527 groups )
528 = 24 × 3 × 11. It is:
529 = 232 . It is:
530 = 2 × 5 × 53. It is:
531 = 32 × 59. It is:
palindromic in base 12 (38312 ).
a Harshad number.
number of symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to 6
[39]
532 = 22 × 7 × 19. It is:
533 = 13 × 41. It is:
the sum of three consecutive primes (173 + 179 + 181).
the sum of five consecutive primes (101 + 103 + 107 + 109 + 113).
palindromic in base 19 (19119 ).
generalized octagonal number.
[41]
534 = 2 × 3 × 89. It is:
a sphenic number.
the sum of four consecutive primes (127 + 131 + 137 + 139).
a nontotient.
palindromic in bases 5 (41145 ) and 14 (2A214 ).
an
admirable number .
∑
n
=
0
10
534
n
{\displaystyle \sum _{n=0}^{10}{534}^{n}}
is prime
[12]
535 = 5 × 107. It is:
34
n
3
+
51
n
2
+
27
n
+
5
{\displaystyle 34n^{3}+51n^{2}+27n+5}
for
n
=
2
{\displaystyle n=2}
; this polynomial plays an essential role in
Apéry's proof that
ζ
(
3
)
{\displaystyle \zeta (3)}
is irrational.
535 is used as an abbreviation for May 35, which is used in China instead of June 4 to evade censorship by the Chinese government of references on the Internet to the
Tiananmen Square protests of 1989 .
[42]
536 = 23 × 67. It is:
the number of ways to arrange the pieces of the
ostomachion into a square, not counting rotation or reflection.
the number of 1's in all partitions of 23 into odd parts
[43]
a refactorable number.
[11]
the lowest
happy number beginning with the digit 5.
537 = 3 × 179,
Mertens function (537) = 0,
Blum integer ,
D-number
[27]
538 = 2 × 269. It is:
539 = 72 × 11
∑
n
=
0
10
539
n
{\displaystyle \sum _{n=0}^{10}{539}^{n}}
is prime
[12]
540 = 22 × 33 × 5. It is:
541 is:
For the
Mertens function ,
M
(
541
)
=
0.
{\displaystyle M(541)=0.}
542 = 2 × 271. It is:
543 = 3 × 181; palindromic in bases 11 (45411 ) and 12 (39312 ),
D-number .
[27]
∑
n
=
0
10
543
n
{\displaystyle \sum _{n=0}^{10}{543}^{n}}
is prime
[12]
544 = 25 × 17. Take a grid of 2 times 5 points. There are 14 points on the perimeter. Join every pair of the perimeter points by a line segment. The lines do not extend outside the grid.
544 is the number of regions formed by these lines .
OEIS :
A331452
544 is also the number of pieces that could be seen in a
5×5×5×5 Rubik's Tesseract . As a standard 5×5×5 has 98 visible pieces (53 − 33 ), a 5×5×5×5 has 544 visible pieces (54 − 34 ).
545 = 5 × 109. It is:
546 = 2 × 3 × 7 × 13. It is:
the sum of eight consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83).
palindromic in bases 4 (202024 ), 9 (6669 ), and 16 (22216 ).
a repdigit in bases 9 and 16.
546! − 1 is prime.
547 is:
548 = 22 × 137. It is:
Also, every positive integer is the sum of at most 548 ninth powers;
549 = 32 × 61, it is:
a repdigit in bases 13 (33313 ) and 60 (9960 ).
φ(549) = φ(σ(549)).
[56]
550 = 2 × 52 × 11. It is:
551 = 19 × 29. It is:
It is the number of mathematical
trees on 12 unlabeled nodes.
[59]
the sum of three consecutive primes (179 + 181 + 191).
palindromic in base 22 (13122 ).
the
SMTP status code meaning user is not local
552 = 23 × 3 × 23. It is:
the sum of six consecutive primes (79 + 83 + 89 + 97 + 101 + 103).
the sum of ten consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73).
a pronic number.
[15]
an untouchable number.
[25]
palindromic in base 19 (1A119 ).
a Harshad number.
the model number of
U-552 .
the SMTP status code meaning requested action aborted because the mailbox is full.
553 = 7 × 79. It is:
the sum of nine consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
central polygonal number.
[16]
the model number of
U-553 .
the
SMTP status code meaning requested action aborted because of faulty mailbox name.
554 = 2 × 277. It is:
a nontotient.
a
2-Knödel number
the SMTP status code meaning transaction failed.
Mertens function(554) = 6, a record high that stands until 586.
555 = 3 × 5 × 37 is:
a
sphenic number .
palindromic in bases 9 (6769 ), 10 (55510 ), and 12 (3A312 ).
a repdigit in bases 10 and 36.
a Harshad number.
φ(555) = φ(σ(555)).
[56]
556 = 22 × 139. It is:
the sum of four consecutive primes (131 + 137 + 139 + 149).
an
untouchable number , because it is never the sum of the proper divisors of any integer.
[25]
a happy number.
the model number of
U-556 ;
5.56×45mm NATO cartridge.
557 is:
a prime number.
a Chen prime.
an Eisenstein prime with no imaginary part.
the number of parallelogram polyominoes with 9 cells.
[60]
558 = 2 × 32 × 31. It is:
a nontotient.
a repdigit in bases 30 (II30 ) and 61 (9961 ).
a Harshad number.
The sum of the largest prime factors of the first 558 is itself divisible by 558 (the previous such number is 62, the next is 993).
in the title of the
Star Trek: Deep Space Nine episode "
The Siege of AR-558 "
559 = 13 × 43. It is:
the sum of five consecutive primes (103 + 107 + 109 + 113 + 127).
the sum of seven consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97).
a
nonagonal number .
[61]
a
centered cube number .
[62]
palindromic in base 18 (1D118 ).
the model number of
U-559 .
560 = 24 × 5 × 7. It is:
a
tetrahedral number .
[63]
a refactorable number.
palindromic in bases 3 (2022023 ) and 6 (23326 ).
the number of diagonals in a 35-gon
[37]
561 = 3 × 11 × 17. It is:
562 = 2 × 281. It is:
a Smith number.
[26]
an untouchable number.
[25]
the sum of twelve consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71).
palindromic in bases 4 (203024 ), 13 (34313 ), 14 (2C214 ), 16 (23216 ), and 17 (1G117 ).
a lazy caterer number (sequence
A000124 in the
OEIS ).
the number of Native American (including Alaskan) Nations, or "Tribes," recognized by the USA government.
56264 + 1 is prime
563 is:
564 = 22 × 3 × 47. It is:
the sum of a twin prime (281 + 283).
a refactorable number.
palindromic in bases 5 (42245 ) and 9 (6869 ).
number of primes <= 212 .
[70]
565 = 5 × 113. It is:
the sum of three consecutive primes (181 + 191 + 193).
a member of the
Mian–Chowla sequence .
[71]
a happy number.
palindromic in bases 10 (56510 ) and 11 (47411 ).
566 = 2 × 283. It is:
567 = 34 × 7. It is:
palindromic in base 12 (3B312 ).
∑
n
=
0
10
567
n
{\displaystyle \sum _{n=0}^{10}{567}^{n}}
is prime
[12]
568 = 23 × 71. It is:
the sum of the first nineteen primes (a term of the sequence
OEIS :
A007504 ).
a refactorable number.
palindromic in bases 7 (14417 ) and 21 (16121 ).
the smallest number whose seventh power is the sum of 7 seventh powers.
the room number booked by
Benjamin Braddock in the 1967 film
The Graduate .
the number of millilitres in an
imperial pint .
the name of the Student Union bar at
Imperial College London
569 is:
a prime number.
a Chen prime.
an Eisenstein prime with no imaginary part.
a strictly non-palindromic number.
[68]
570 = 2 × 3 × 5 × 19. It is:
a triangular matchstick number
[72]
a balanced number
[73]
571 is:
a prime number.
a Chen prime.
a centered triangular number.
[23]
the model number of
U-571 which appeared in the 2000 movie
U-571
572 = 22 × 11 × 13. It is:
573 = 3 × 191. It is:
574 = 2 × 7 × 41. It is:
a sphenic number.
a nontotient.
palindromic in base 9 (7079 ).
number of partitions of 27 that do not contain 1 as a part.
[74]
number of amino acid residues in a
hemoglobin molecule.
575 = 52 × 23. It is:
And the sum of the squares of the first 575 primes is divisible by 575.
[76]
576 = 26 × 32 = 242 . It is:
the sum of four consecutive primes (137 + 139 + 149 + 151).
a
highly totient number .
[77]
a Smith number.
[26]
an untouchable number.
[25]
palindromic in bases 11 (48411 ), 14 (2D214 ), and 23 (12123 ).
a Harshad number.
four-dozen sets of a dozen, which makes it 4 gross.
a
cake number .
the number of parts in all compositions of 8.
[78]
577 is:
578 = 2 × 172 . It is:
a nontotient.
palindromic in base 16 (24216 ).
area of a square with diagonal 34
[80]
579 = 3 × 193; it is a
ménage number ,
[81] and a
semiprime .
580 = 22 × 5 × 29. It is:
the sum of six consecutive primes (83 + 89 + 97 + 101 + 103 + 107).
palindromic in bases 12 (40412 ) and 17 (20217 ).
581 = 7 × 83. It is:
the sum of three consecutive primes (191 + 193 + 197).
a
Blum integer
582 = 2 × 3 × 97. It is:
a sphenic number.
the sum of eight consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89).
a nontotient.
a vertically symmetric number (sequence
A053701 in the
OEIS ).
an
admirable number .
583 = 11 × 53. It is:
palindromic in base 9 (7179 ).
number of compositions of 11 whose run-lengths are either weakly increasing or weakly decreasing
[82]
584 = 23 × 73. It is:
an untouchable number.
[25]
the sum of totient function for first 43 integers.
a refactorable number.
585 = 32 × 5 × 13. It is:
palindromic in bases 2 (10010010012 ), 8 (11118 ), and 10 (58510 ).
a repdigit in bases 8, 38, 44, and 64.
the sum of powers of 8 from 0 to 3.
When counting in binary with fingers, expressing 585 as 1001001001, results in the isolation of the index and little fingers of each hand, "throwing up the
horns ".
586 = 2 × 293.
587 is:
a prime number.
safe prime.
[3]
a Chen prime.
an Eisenstein prime with no imaginary part.
the sum of five consecutive primes (107 + 109 + 113 + 127 + 131).
palindromic in bases 11 (49411 ) and 15 (29215 ).
the outgoing port for
email
message submission .
a
prime index prime .
588 = 22 × 3 × 72 . It is:
a Smith number.
[26]
palindromic in base 13 (36313 ).
a Harshad number.
589 = 19 × 31. It is:
590 = 2 × 5 × 59. It is:
591 = 3 × 197,
D-number
[27]
592 = 24 × 37. It is:
palindromic in bases 9 (7279 ) and 12 (41412 ).
a Harshad number.
59264 + 1 is prime
593 is:
a prime number.
a
Sophie Germain prime .
the sum of seven consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101).
the sum of nine consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83).
an
Eisenstein prime with no imaginary part.
a
balanced prime .
[67]
a Leyland prime.
a member of the Mian–Chowla sequence.
[71]
a strictly non-palindromic number.
[68]
594 = 2 × 33 × 11. It is:
the sum of ten consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79).
a nontotient.
palindromic in bases 5 (43345 ) and 16 (25216 ).
a Harshad number.
the number of diagonals in a 36-gon.
[37]
a balanced number.
[73]
595 = 5 × 7 × 17. It is:
596 = 22 × 149. It is:
the sum of four consecutive primes (139 + 149 + 151 + 157).
a nontotient.
a lazy caterer number (sequence
A000124 in the
OEIS ).
597 = 3 × 199. It is:
598 = 2 × 13 × 23 = 51 + 92 + 83 . It is:
599 is:
a prime number.
a Chen prime.
an Eisenstein prime with no imaginary part.
a
prime index prime .
4599 - 3599 is prime .
^
Sloane, N. J. A. (ed.).
"Sequence A000219 (Number of planar partitions (or plane partitions) of n)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Evans, I.H., Brewer's Dictionary of Phrase and Fable , 14th ed., Cassell, 1990,
ISBN
0-304-34004-9
^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A005385 (Safe primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^ that is, a term of the sequence
OEIS :
A034961
^ that is, the first term of the sequence
OEIS :
A133525
^ since 503+2 is a product of two primes, 5 and 101
^ since it is a prime which is congruent to 2 modulo 3.
^
Sloane, N. J. A. (ed.).
"Sequence A001606 (Indices of prime Lucas numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A259180 (Amicable pairs.)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-05-22 .
^
Sloane, N. J. A. (ed.).
"Sequence A000073 (Tribonacci numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A033950 (Refactorable numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
c
d
e
Sloane, N. J. A. (ed.).
"Sequence A162862 (Numbers n such that n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1 is prime)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-02 .
^ Wohlfahrt, K. (1985).
"Macbeath's curve and the modular group" . Glasgow Math. J . 27 : 239–247.
doi :
10.1017/S0017089500006212 .
MR
0819842 .
^
Sloane, N. J. A. (ed.).
"Sequence A000330 (Square pyramidal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002061" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000070" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-05-31 .
^
Sloane, N. J. A. (ed.).
"Sequence A014206" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A100827 (Highly cototient numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A036913 (Sparsely totient numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A000918" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A061209 (Numbers which are the cubes of their digit sum)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A005448 (Centered triangular numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A107429 (Number of complete compositions of n)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
f
g
h
i
j
Sloane, N. J. A. (ed.).
"Sequence A005114 (Untouchable numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
c
d
e
f
Sloane, N. J. A. (ed.).
"Sequence A006753 (Smith numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
c
d
Sloane, N. J. A. (ed.).
"Sequence A033553 (3-Knödel numbers or D-numbers: numbers n > 3 such that n)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-05-31 .
^
Sloane, N. J. A. (ed.).
"Sequence A005479 (Prime Lucas numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^ Dr. Kirkby (May 19, 2021).
"Many more twin primes below Mersenne exponents than above Mersenne exponents" . Mersenne Forum.
^
Sloane, N. J. A. (ed.).
"Sequence A000084 (Number of series-parallel networks with n unlabeled edges. Also called yoke-chains by Cayley and MacMahon.)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A348699 (Primes with a prime number of prime digits)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000123 (Number of binary partitions: number of partitions of 2n into powers of 2)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A003052 (Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m).)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-01-09 .
^
Sloane, N. J. A. (ed.).
"Sequence A329191 (The prime divisors of the orders of the sporadic finite simple groups.)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-01-09 .
^
Sloane, N. J. A. (ed.).
"Sequence A113907 (Dimensions of the five sporadic Lie groups.)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2024-01-09 .
^
Sloane, N. J. A. (ed.).
"Sequence A005891 (Centered pentagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A000096" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-05-31 .
^
Sloane, N. J. A. (ed.).
"Sequence A016754 (Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A138178 (Number of symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A000326 (Pentagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A001082 (Generalized octagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Larmer, Brook (October 26, 2011).
"Where an Internet Joke Is Not Just a Joke" . New York Times . Retrieved November 1, 2011 .
^
Sloane, N. J. A. (ed.).
"Sequence A036469 (Partial sums of A000009 (partitions into distinct parts))" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A001107 (10-gonal (or decagonal) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^ Snorri Sturluson (1880).
"Prose Edda" . p. 107.
^ Snorri Sturluson (1880).
"Prose Edda" . p. 82.
^
Sloane, N. J. A. (ed.).
"Sequence A031157 (Numbers that are both lucky and prime)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A003154 (Centered 12-gonal numbers. Also star numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A000670 (Fubini numbers: number of preferential arrangements of n labeled elements; or number of weak orders on n labeled elements; or number of ordered partitions of [n].)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2023-10-23 .
^
Sloane, N. J. A. (ed.).
"Sequence A059801 (Numbers k such that 4^k - 3^k is prime.)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2023-10-23 .
^
Sloane, N. J. A. (ed.).
"Sequence A002088" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A001844 (Centered square numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A002407 (Cuban primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A003215 (Hex (or centered hexagonal) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A069099 (Centered heptagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A006872" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A002411 (Pentagonal pyramidal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A071395 (Primitive abundant numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
"Sloane's A000055: Number of trees with n unlabeled nodes" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
Archived from the original on 2010-11-29. Retrieved 2021-12-19 .
^
Sloane, N. J. A. (ed.).
"Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A005898 (Centered cube numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A000292 (Tetrahedral numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A000384 (Hexagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^ Higgins, Peter (2008).
Number Story: From Counting to Cryptography . New York: Copernicus. p.
14 .
ISBN
978-1-84800-000-1 .
^
Sloane, N. J. A. (ed.).
"Sequence A007540 (Wilson primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A006562 (Balanced primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A016038 (Strictly non-palindromic numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A059802 (Numbers k such that 5^k - 4^k is prime)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A007053" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-02 .
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A005282 (Mian-Chowla sequence)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A045943" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-02 .
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A020492 (Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203))" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A002865 (Number of partitions of n that do not contain 1 as a part)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-02 .
^
Sloane, N. J. A. (ed.).
"Sequence A001845 (Centered octahedral numbers (crystal ball sequence for cubic lattice))" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-02 .
^
Sloane, N. J. A. (ed.).
"Sequence A111441 (Numbers k such that the sum of the squares of the first k primes is divisible by k)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-02 .
^
Sloane, N. J. A. (ed.).
"Sequence A097942 (Highly totient numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A001792" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A080076 (Proth primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A001105" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000179 (Ménage numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
^
Sloane, N. J. A. (ed.).
"Sequence A332835 (Number of compositions of n whose run-lengths are either weakly increasing or weakly decreasing)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-02 .
^
Sloane, N. J. A. (ed.).
"Sequence A060544 (Centered 9-gonal (also known as nonagonal or enneagonal) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2016-06-11 .
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000