A367104 First of 5 consecutive semiprimes congruent to 1,2,3,4,5 (mod 6).

25, 133, 187, 4873, 5713, 8005, 11293, 11707, 13645, 19657, 33853, 37033, 48217, 58117, 74701, 81541, 84907, 106177, 107257, 113977, 114559, 117313, 130837, 154273, 158845, 162397, 168997, 174073, 181057, 202927, 208477, 229513, 233845, 236059, 246601, 266173, 274717, 280813, 283333, 304585

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..838

David A. Corneth, PARI program

Example

a(3) = 187 is a term because 187,194,201,202,203 are consecutive semiprimes congruent to 1, 2, 3, 4, 5 (mod 6) respectively.

Maple

sp:= select(t -> numtheory:-bigomega(t)=2, [$4..10^6]):
sp6:= sp mod 6:
sp[select(i -> sp6[i..i+4] = [$1..5], [$1..nops(sp)-5])];

Prog

(PARI) \\ See PARI program

Crossrefs

Cf. A001358.

Sequence in context: A232856 A232792 A305956 * A364194 A317217 A147489

Adjacent sequences: A367101 A367102 A367103 * A367105 A367106 A367107

Keyword

nonn

Author

Zak Seidov and Robert Israel, Nov 04 2023

Status

approved