A244846 Least triangular number t>p such that q=p+t is also prime, where p=prime(n).

3, 10, 6, 10, 36, 28, 36, 28, 36, 78, 36, 66, 66, 66, 66, 78, 78, 66, 190, 78, 78, 120, 210, 300, 136, 210, 120, 120, 120, 120, 136, 300, 210, 210, 210, 406, 190, 190, 276, 210, 210, 276, 210, 378, 630, 210, 276, 276, 276, 378, 276, 378, 300, 630, 300, 300, 300, 276, 300, 378, 378, 300, 630, 528, 378, 630, 378, 406, 630, 378, 528, 528, 406, 378, 528, 528, 630

Offset

1,1

Comments

Corresponding values of primes q: 5,13,11,17,47,41,53,47,59,107,67,103,107,...

Among first 10000 terms, maximal value of q = 238859 is at n=9924.

Indices, i, of triangulars t: 2,4,3,4,8,7,8,7,8,12,8,11,11,11,11,12,12.,...

Among first 10000 terms, maximal value of i = 519 are for n = 8782, 9074, 9719, 9912, 9924.

Links

Table of n, a(n) for n=1..77.

Example

q=2+3=5, q=3+10=13, q=5+6=11 all prime.

Crossrefs

Cf. A000040, A000217.

Sequence in context: A088337 A195919 A275741 * A210415 A337275 A087397

Adjacent sequences: A244843 A244844 A244845 * A244847 A244848 A244849

Keyword

nonn

Author

Zak Seidov, Nov 12 2014

Status

approved