A350392 Lexicographically earliest infinite sequence of distinct primes such that, for n > 0, 2n | (a(n+1) - a(n)) and, for n > 0, b(n+1) > b(n) where b(n) = (a(n+1) - a(n)) / 2n.

3, 5, 13, 31, 71, 131, 227, 353, 577, 883, 1283, 1789, 2389, 3169, 4093, 5113, 6329, 7723, 9343, 11243, 13523, 15959, 18731, 21767, 25031, 28631, 32479, 36529, 40841, 45481, 50341, 55487, 61631, 68099, 74831, 81901, 89317, 98123, 107243, 116681, 126601, 137507

Offset

1,1

Links

Table of n, a(n) for n=1..42.

Prog

(PARI) my(p=3, q=1); print1(p); forstep(k=2, 200, 2, while(!isprime(p+q*k), q++); p+=q*k; print1(", ", p); q++);

Crossrefs

Sequence in context: A190667 A062304 A354167 * A281874 A135532 A127600

Adjacent sequences: A350389 A350390 A350391 * A350393 A350394 A350395

Keyword

nonn,changed

Author

Mikhail Kurkov, Dec 28 2021 [verification needed]

Status

approved