A165744 Numbers k with property that 6^k is the sum of two consecutive primes.

2, 3, 7, 36, 54, 143, 1102, 1678

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Example

k=2: 6^2 = 36     = 17 + 19         = prime(7) + prime(8);
k=3: 6^3 = 216    = 107 + 109       = prime(28) + prime(29);
k=7: 6^7 = 279936 = 139967 + 139969 = prime(13005) + prime(13006).

Mathematica

(* M6 *) Do[If[PreviousPrime[6^n/2]+NextPrime[6^n/2]==6^n, Print[n]], {n, 1000}]

Prog

(PARI) is(k) = my(t=6^k); precprime(t/2)+nextprime(1+t/2)==t; \\ Jinyuan Wang, Feb 18 2021

Crossrefs

Cf. A071087, A074924.

Sequence in context: A004026 A135907 A027624 * A330554 A304524 A034900

Adjacent sequences: A165741 A165742 A165743 * A165745 A165746 A165747

Keyword

nonn,more

Author

Zak Seidov, Sep 26 2009

Extensions

a(7) from Max Alekseyev, Dec 14 2011

a(8) from Amiram Eldar, Apr 06 2019

Status

approved