A344021 Numbers k such that A061762(k) and k+A061762(k) are both prime.

1, 12, 16, 32, 34, 54, 56, 78, 104, 106, 160, 232, 236, 250, 252, 298, 302, 304, 326, 328, 340, 362, 382, 388, 474, 490, 502, 508, 526, 560, 580, 610, 650, 656, 670, 676, 706, 740, 760, 838, 850, 890, 898, 928, 940, 980, 1004, 1006, 1024, 1028, 1042, 1048, 1082, 1084, 1152, 1190, 1192, 1246, 1248

Offset: 1

Author

J. M. Bergot and Robert Israel, May 06 2021

Keywords

• nonn
• base

Examples

			a(3) = 16 is a term because A061762(16) = 1*6+1+6=13 is prime and 16+13=29 is prime.
		

Links

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

Crossrefs

Cf. A061762, A185300.

Programs

Maple

f:= proc(n) local L;
L:= convert(n,base,10);
convert(L,`*`)+convert(L,`+`);
end proc:
filter:= proc(n) local t; t:= f(n); isprime(t) and isprime(n+t) end proc:
select(filter, [1,seq(i,i=2..10000,2)]);