A205532 Primes at which occur records of A205531 and A205535.

2, 13, 61, 109, 1009, 2689, 8089, 33049, 53881, 87481, 483289, 515761, 1083289, 3818929, 9257329

Offset

1,1

Comments

Related to the 4.X Selfridge Conjecture by P. Underwood, cf. link.

Records occur at [A205532(n), A205534(n)] = [2, 1], [13, 3], [61, 5], [109, 6], [1009, 9], [2689, 11], [8089, 15], [33049, 17], [53881, 21], [87481, 27], [483289, 29], [515761, 35], [1083289, 39], [3818929, 45], [9257329, 51],...

It appears that a(n)=A102295(n+1) for n>4; they are also terms of A002224 and A096637.

Links

Table of n, a(n) for n=1..15.

P. Underwood, 4.X Selfridge Conjecture (on "Prime Pages" profile), Jan 2012.

Prog

(PARI) m=-1; forprime(p=1, default(primelimit), if(m+0<m=max(m, A205535(p), m), print1(p", ")))

Crossrefs

Sequence in context: A338818 A290721 A354942 * A294052 A353177 A089130

Adjacent sequences: A205529 A205530 A205531 * A205533 A205534 A205535

Keyword

nonn

Author

M. F. Hasler, Jan 28 2012

Status

approved