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A262936 Lesser of lonely twin primes pairs with increasing distance to nearest prime. 2
3, 5, 11, 29, 419, 521, 1931, 6449, 10007, 28349, 107507, 173429, 569321, 913637, 1349531, 3593201, 18286391, 80528741, 83528411, 591792347, 1971409091, 2061246347, 8579208791, 13861166687, 15250041281, 27034148369, 27066034997, 54125499299, 315361055237 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Dmitry Petukhov, Table of n, a(n) for n = 1..40

FORMULA

a(n) = p(i) if ( (p(i+1) = p(i)+2) AND (min(p(i+2)-p(i+1), p(i)-p(i-1)) > a(n-1)) ), where a(0) = 0, p(k) = prime(k) = A000040(k).

EXAMPLE

(3,5) is a twin primes pair, min(7-5, 3-2)=1, therefore a(1)=3.

(5,7) is a twin primes pair, min(11-7, 5-3)=2>1, therefore a(2)=5.

(11,13) is a twin primes pair, min(17-13, 11-7)=4>2, therefore a(3)=11.

PROG

(PARI) {m=0; q=5; s=3; t=2; forprime(p=6, 10^9, if((q-s==2) && (min(p-q, s-t)>m), m=min(p-q, s-t); print1(s, ", ") ); t=s; s=q; q=p; )}

CROSSREFS

Subsequence of A001359.

Cf. A035789, A262935.

Sequence in context: A084748 A265784 A146243 * A214089 A108259 A093933

Adjacent sequences:  A262933 A262934 A262935 * A262937 A262938 A262939

KEYWORD

nonn

AUTHOR

Dmitry Petukhov, Oct 04 2015

STATUS

approved

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Last modified November 13 20:57 EST 2019. Contains 329106 sequences. (Running on oeis4.)