cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A144466 Primes p such that the partition number of the p-th prime is also a prime.

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%I A144466 #22 Jun 25 2025 16:14:49
%S A144466 2,3,37,257,1021,1601,67757,193873,331889,332099,843181,1278029,
%T A144466 1437133,1613153,2160797,2423873,3076313,3506039,4108889,4430753,
%U A144466 4656089,5724349,6206119,7457503,7487759,7798649,7978849,8794811,9036997,11846183,13075709,13458323,14773721,15227543
%N A144466 Primes p such that the partition number of the p-th prime is also a prime.
%F A144466 { p in {A000040} : A000041(A000040(p)) in {A000040} }.
%e A144466 37 is in the sequence because the 37th prime is 157, the partition number of 157 is 80630964769 and 80630964769 is a prime.
%t A144466 Flatten[Table[If[PrimeQ[PartitionsP[Prime[Prime[n]]]], Prime[n], {}], {n, 1, 2000}]]
%t A144466 Select[Prime[Range[260]],PrimeQ[PartitionsP[Prime[#]]]&] (* _Harvey P. Dale_, Nov 01 2011 *)
%Y A144466 Cf. A038601.
%K A144466 nonn
%O A144466 1,1
%A A144466 _Roger L. Bagula_, Oct 09 2008
%E A144466 Edited by _Alois P. Heinz_, Oct 26 2011
%E A144466 a(7)-a(21) from _Michael S. Branicky_, Sep 30 2023
%E A144466 a(22) and beyond from _Michael S. Branicky_, Jun 25 2025