A348098 - OEIS

A348098

Number k such that k and k+1 both have an equal number of unitary and nonunitary prime divisors (A348097).

44, 75, 98, 116, 135, 147, 152, 171, 175, 188, 207, 244, 296, 332, 351, 368, 375, 387, 404, 423, 424, 507, 548, 567, 603, 604, 639, 656, 711, 724, 775, 832, 844, 847, 872, 891, 908, 927, 931, 963, 1016, 1028, 1052, 1075, 1083, 1107, 1183, 1215, 1250, 1251, 1268

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OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

44 is a term since 44 = 2^2 * 11 and 44 + 1 = 45 = 3^2 * 5 both have one unitary prime divisor and one nonunitary prime divisor.

MATHEMATICA

q[n_] := n == 1 || Count[(e = FactorInteger[n][[;; , 2]]), 1] == Length[e]/2; Select[Range[10^3], q[#] && q[# + 1] &]

CROSSREFS

Subsequence of A348097.

Cf. A335328.