

A128949


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


1



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 twinprime pair.  Harvey P. Dale, Aug 24 2013


LINKS

Table of n, a(n) for n=1..10.


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

Cf. Intersection of A014210 (Next prime after 2^n) and A001097 (Twin primes).
Sequence in context: A090952 A270778 A267030 * A070316 A298121 A244473
Adjacent sequences: A128946 A128947 A128948 * A128950 A128951 A128952


KEYWORD

nonn


AUTHOR

Cino Hilliard, Apr 28 2007


EXTENSIONS

Edited by Ray Chandler, May 12 2007
One more term (a(10)) from Harvey P. Dale, Aug 24 2013


STATUS

approved



