cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A128996 Intersection of A061068 and A064270.

Original entry on oeis.org

3, 11, 19, 79, 683, 733, 971, 1433, 1453, 2531, 3181, 3931, 4027, 4111, 4153, 4943, 6397, 6491, 6653, 6673, 6883, 8521, 8641, 8969, 10463, 10477, 10667, 11383, 11411, 11587, 12527, 13229, 15749, 16631, 17971, 21757, 21929, 24767, 27031, 28859
Offset: 1

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Author

Zak Seidov, Apr 30 2007

Keywords

Comments

Primes which are equal to (some prime plus its subscript) and also to (some other prime minus its subscript). Primes of the form p(m)+m and p(n)-n, p(k) = k-th prime.

Examples

			3=p(1)+1=2+1 and 3=p(4)-4=7-4 (that is m=1, n=4),
11=p(4)+4=7+4 and 11=p(8)-8=19-8 (m=4, n=8),
19=p(6)+6=13+6 and 19=p(10)-10=29-10 (m=6, n=10),
79=p(18)+18=61+18 and 79=p(28)-28=107-28 (m=18, n=28),
683=p(106)+106=577+106 and 683=p(144)-144=827-144 (m=106, n=144).
		

Crossrefs

Formula

p=p(m)+m=p(n)-n for some m and some n>m.