A343711 Primes p such that p-1 is a partial sum of A014574.

5, 11, 23, 41, 71, 113, 173, 347, 593, 743, 2333, 3413, 5399, 7919, 9551, 12119, 23627, 27827, 39113, 42773, 44651, 48533, 63113, 67619, 69929, 72269, 77201, 93371, 105263, 114941, 121571, 142151, 149249, 164093, 171863, 204461, 257783, 282281, 308333, 481571, 539267, 554303, 625589, 659237

Offset

1,1

Comments

All terms == 5 (mod 6).

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(8) = 347 is a term because it is prime and 347-1 = 346 = Sum_{i=1..9} A014574(i) = 4+6+12+18+30+42+60+72+102.

Maple

P:= {seq(ithprime(i), i=1..10^5)}:
A014574:= sort(convert(map(`+`, P, 1) intersect map(`-`, P, 1), list)):
select(isprime, map(`+`, ListTools:-PartialSums(A014574), 1));

Crossrefs

Cf. A014574, A343712.

Sequence in context: A046628 A262284 A118439 * A323042 A210731 A295959

Adjacent sequences: A343708 A343709 A343710 * A343712 A343713 A343714

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Apr 26 2021

Status

approved