|
Search: id:A014752
|
|
|
| A014752 |
|
Primes of the form x^2 + 27y^2. |
|
+0
12
|
|
| 31, 43, 109, 127, 157, 223, 229, 277, 283, 307, 397, 433, 439, 457, 499, 601, 643, 691, 727, 733, 739, 811, 919, 997, 1021, 1051, 1069, 1093, 1327, 1399, 1423, 1459, 1471, 1579, 1597, 1627, 1657, 1699, 1723, 1753, 1777, 1789, 1801, 1831, 1933, 1999, 2017
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Primes p such that x^3 = 2 has more than one solution mod p.
Primes p == 1 mod 6 such that 2 and -2 are both cubes (one implies other) mod p. - Warren Smith (wds(AT)research.nj.nec.com)
Subsequence of A040028, complement of A059437 relative to A040028. Solutions mod p are represented by integers from 0 to p-1. For the terms of this sequence, x^3 = 2 has three solutions mod p, whose sum is p (A059899) or 2*p (A059914). The solutions are given in A060122, A060123 and A060124. - Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 02 2001
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n = 1..1000
S. R. Finch, Powers of Euler's q-Series, (arXiv: math.NT/0701251).
|
|
CROSSREFS
|
Cf. A040028, A059437, A059899, A059914, A060122, A060123, A060124.
Adjacent sequences: A014749 A014750 A014751 this_sequence A014753 A014754 A014755
Sequence in context: A112789 A016108 A059898 this_sequence A020348 A033905 A033661
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 02 2001
|
|
EXTENSIONS
|
Definition provided by T. D. Noe (noe(AT)sspectra.com), May 08 2005
Entry revised by Michael Somos and njas, Jul 28 2006
|
|
|
Search completed in 0.002 seconds
|
