A337791 6-Wall-Sun-Sun primes: primes p such that p^2 divides F_6(A175185(p)), where F_6(i) is the i-th 6-Fibonacci number.

191, 643, 134339, 25233137

Offset

1,1

Links

Table of n, a(n) for n=1..4.

Zakariae Bouazzaoui, On Periods of Fibonacci Sequences and Real Quadratic p-rational Fields, Fibonacci Quart. 58 (2020), no. 5, 103-110. See p. 7.

Wikipedia, Wall-Sun-Sun prime

Prog

(PARI) my(b=6); forprime(p=2, , if( (([0, 1; 1, b]*Mod(1, p^2))^(p-kronecker(b^2+4, p)))[1, 2]==0, print1(p, ", "); ); );

Crossrefs

Cf. A175185, A238736 (2-Wall-Sun-Sun primes), A271782 (smallest n-Wall-Sun-Sun prime).

Sequence in context: A142677 A142562 A142619 * A347294 A086878 A082445

Adjacent sequences: A337788 A337789 A337790 * A337792 A337793 A337794

Keyword

nonn,hard,more

Author

Felix Fröhlich, Dec 23 2020

Status

approved