A304456 Least semiprime of a run of exactly n even semiprimes.

22, 4, 454, 300746, 111614, 14491726, 1096669582, 42205941082, 85933755478, 746001905114, 39682041123518

Offset: 1

Author

Zak Seidov, Silvester Resnik and Robert G. Wilson v, May 12 2018

Keywords

• nonn
• more

Comments

Runs of semiprimes of the same parity: {4, 6}, {9}, {10, 14}, {15, 21}, {22}, {25}, {26}, {33}, {34}, {35}, {38}, {39}, {46}, {49, 51, 55, 57}, {58, 62}, {65, 69}, {74}, {77}, {82}, {85}, {86}, {87, 91, 93}, {94}, ...

a(12) > 2*10^14.

Examples

			a(1) = 22 since it is the first occurrence of a single even semiprime;
a(2) = 4 since 4 is the first of two consecutive even semiprimes in the sequence of semiprimes;
a(3) = 454 since it is the first of three consecutive even semiprimes in the sequence of semiprimes; etc.
		

Crossrefs

Cf. A001358, A304457, A304458.

Programs

Mathematica

SplitBy[ Select[ Range@ 100, PrimeOmega@# == 2 &], Mod[#, 2] &] (* to view the runs of semiprimes of the same parity *)