A342035 - OEIS

A342035

Numbers k such that both bigomega(k)+sopfr(k) and bigomega(k)+sopfr(k)+k are prime.

2, 6, 18, 24, 26, 30, 38, 56, 72, 90, 104, 120, 152, 158, 162, 174, 206, 218, 288, 294, 318, 342, 344, 350, 354, 360, 378, 408, 446, 458, 486, 510, 522, 534, 558, 690, 696, 698, 726, 776, 792, 824, 878, 894, 910, 936, 990, 992, 1016, 1056, 1078, 1098, 1152, 1170, 1184, 1256, 1278, 1286, 1330

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OFFSET

1,1

COMMENTS

Numbers k such that A001222(k)+A001414(k) and A001222(k)+A001414(k)+k are prime.

All terms are even.

Semiprimes in the sequence are 2*p where p is in the intersection of A023200 and A023209.

LINKS

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

EXAMPLE

a(4) = 24 = 2^3*3 is in the sequence because A001222(24) = 3+1 = 4, A001414(24) = 3*2+3 = 9, and 4+9 = 13 and 4+9+24 = 37 are prime.

MAPLE