|
| |
|
|
A059236
|
|
Primes p such that x^41 = 2 has no solution mod p.
|
|
18
| |
|
|
83, 739, 821, 1231, 1559, 1723, 2297, 2543, 2707, 2789, 2953, 3527, 3691, 4019, 5003, 5167, 5413, 5659, 5741, 5987, 6151, 6397, 6971, 7873, 8447, 8693, 9103, 9349, 9431, 9677, 9923, 10169, 10333, 11071, 11317, 11399, 12301, 12547, 13121, 13367
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Presumably this is also "Primes congruent to 1 mod 41", but that requires a proof. - N. J. A. Sloane (njas(AT)research.att.com), Jul 11 2008
Smallest counterexample: 17467 is not in A059236, but congruent to 1 mod 41 (17467 = 426*41+1). - Klaus Brockhaus, May 18 2011
Complement of A049573 relative to A000040.
|
|
|
LINKS
| Klaus Brockhaus, Table of n, a(n) for n = 1..100000
|
|
|
PROG
| (MAGMA) [ p: p in PrimesUpTo(13400) | not exists{x : x in ResidueClassRing(p) | x^41 eq 2} ]; // Klaus Brockhaus, May 18 2011
(PARI) forprime(p=2, 69589957, if(trap(, 1, sqrtn(Mod(2, p), 41); 0), print1(p, ", "))) \\ Klaus Brockhaus, May 18 2011
|
|
|
CROSSREFS
| Cf. A049573, A142199, A142200, A190758.
Sequence in context: A164758 A142751 A176633 * A059935 A069596 A112766
Adjacent sequences: A059233 A059234 A059235 * A059237 A059238 A059239
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jan 20 2001
|
| |
|
|
