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

1,2

Links

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

Example

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

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)]);

Crossrefs

Cf. A061762, A185300.

Sequence in context: A357631 A109240 A020740 * A086980 A256934 A343153

Adjacent sequences: A344018 A344019 A344020 * A344022 A344023 A344024

Keyword

nonn,base

Author

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

Status

approved