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A232460 2^(2^n) - 5. 2
-3, -1, 11, 251, 65531, 4294967291, 18446744073709551611, 340282366920938463463374607431768211451, 115792089237316195423570985008687907853269984665640564039457584007913129639931 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

For n >= 3, a(n) is not of the form 2^k + p, where p is a prime. Therefore every term greater than 11 is in A006285 (de Polignac numbers).

LINKS

Table of n, a(n) for n=0..8.

Wacław Sierpiński, Elementary Theory of Numbers, Monografie Matematyczne 42 (1964), p. 415.

FORMULA

a(n) = A000215(n) - 6.

a(0) = - 3; a(n) = (a(n-1) + 5)^2 - 5, n >= 1.

MATHEMATICA

Table[2^(2^n) - 5, {n, 0, 8}]

PROG

(MAGMA) [2^(2^n)-5 : n in [0..8]]

(PARI) for(n=0, 8, print1(2^(2^n)-5, ", "));

CROSSREFS

Cf. A006285.

Sequence in context: A002185 A002589 A048522 * A287197 A118020 A178619

Adjacent sequences:  A232457 A232458 A232459 * A232461 A232462 A232463

KEYWORD

sign,easy

AUTHOR

Arkadiusz Wesolowski, Nov 24 2013

STATUS

approved

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Last modified June 5 09:46 EDT 2020. Contains 334829 sequences. (Running on oeis4.)