A274057 - OEIS

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A274057

Even numbers n that cannot be written as the difference of two primes, each of which is one of a pair of twin primes, and one of which is < n.

2, 112, 114, 116, 364, 366, 368, 394, 396, 398, 484, 486, 488, 694, 696, 698, 934, 936, 938, 1402, 1404, 1406

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OFFSET

1,1

COMMENTS

There are no more terms less than 10^5.

There are no more terms less than 10^8. Probably there are no more terms; a Cramér model predicts that the chance of more terms existing is less than 1 in 10^2000. - Charles R Greathouse IV, Jun 17 2016

LINKS

Table of n, a(n) for n=1..22.

PROG

(PARI) is(n)=my(p=2); forprime(q=3, n+1, if(q-p!=2, p=q; next); if(isprime(n+p) && (isprime(n+p-2) || isprime(n+p+2)), return(0)); if(isprime(n+q) && (isprime(n+q-2) || isprime(n+q+2)) && q<n, return(0)); p=q); 1 \\ Charles R Greathouse IV, Jun 17 2016

CROSSREFS

Sequence in context: A079840 A231278 A117698 * A281135 A173214 A341782

Adjacent sequences: A274054 A274055 A274056 * A274058 A274059 A274060

KEYWORD

nonn

AUTHOR

Thomas Curtright, Jun 08 2016

STATUS

approved