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A232169 Squarefree numbers (A005117) with prime factors in a prime(k) + k progression. 2

%I #15 Mar 11 2015 01:37:27

%S 6,15,30,77,247,4819,7979,10057,12827,21353,24047,40363,60433,121411,

%T 146231,154729,211763,273509,301297,322499,346781,367063,382937,

%U 394091,415693,453727,485237,486719,579727,632579,803017,874219,910073,1009823,1013333,1218053

%N Squarefree numbers (A005117) with prime factors in a prime(k) + k progression.

%C Let p(m) = prime(m), let i(p(m)) = m, the subscript of p(m); a(n) = squarefree numbers with k>=2 prime factors of the form p_1 * p_2 * p_3 * ... * p_k, where p_1 < p_2 < p_3 < ... < p_k with p_k = p_(k-1) + i(p_(k-1)).

%C Supersequence of A232170.

%e 30 = 2*3*5; p_1 = 2, p_2 = 2+1 = 3, p_3 = 3+2 = 5 (2 = 1st prime, 3 = 2nd prime).

%Y Cf. A000040, A005117, A232170, A232171.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Nov 19 2013

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)