A128949 - OEIS

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A128949

Smallest primes > 2^n that are twin prime members.

3, 5, 11, 17, 521, 1031, 65537, 8388617, 862718293348820473429344482784628181556388621521298319395315527975161, 56539106072908298546665520023773392506479484700019806659891398441363833147

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OFFSET

1,1

COMMENTS

A prime is included only if it is both the smallest prime greater than 2^n and also the smaller of a twin-prime pair. - Harvey P. Dale, Aug 24 2013

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..13

FORMULA

a(n) = A014210(A128944(n)).

MATHEMATICA

Select[NextPrime[2^Range[250]], PrimeQ[#+2]&] (* Harvey P. Dale, Aug 24 2013 *)

PROG

(PARI) g(n, b)=for(x=1, n, y=nextprime(b^x); if(ispseudoprime(y+2), print1(y", ")))

CROSSREFS

Intersection of A014210 (Next prime after 2^n) and A001097 (Twin primes).

Cf. A128944.

Sequence in context: A347078 A270778 A267030 * A070316 A298121 A373273

Adjacent sequences: A128946 A128947 A128948 * A128950 A128951 A128952

KEYWORD

nonn

AUTHOR

Cino Hilliard, Apr 28 2007

EXTENSIONS

Edited by Ray Chandler, May 12 2007

a(10) from Harvey P. Dale, Aug 24 2013

STATUS

approved