A339542 Primes p such that A339541(p) is prime.

2, 13, 19, 37, 71, 73, 127, 163, 167, 181, 271, 293, 307, 367, 431, 433, 457, 503, 569, 631, 659, 811, 907, 983, 1009, 1087, 1153, 1171, 1229, 1373, 1399, 1409, 1423, 1483, 1487, 1511, 1597, 1777, 1801, 1861, 1867, 1999, 2017, 2039, 2053, 2143, 2239, 2273, 2297, 2341, 2383, 2437, 2477, 2521, 2659

Offset: 1

Author

J. M. Bergot and Robert Israel, Dec 08 2020

Keywords

• nonn
• base

Comments

Primes p such that p + A138530(p, A007953(p)) is prime.

Examples

			a(5) = 71 is in the sequence because sod(71,10) = 8, sod(71,8) = 8 (since 71 = 107_8), and 71+8=79 is prime.
		

Links

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

Crossrefs

Cf. A007953, A138530, A339541.

Programs

Maple

sod:= proc(x,b) if b=1 then x else convert(convert(x,base,b),`+`) fi end proc:
select(p -> isprime(p+sod(p,sod(p,10))), [seq(ithprime(i),i=1..1000)]);