

A110082


Numbers of the form 2^(m1)*(4^m+2^m1) where 4^m+2^m1 is prime.


2



5, 38, 284, 2168, 133088, 537394688, 140739635806208, 2361183382172302573568, 151115729703628426969088, 20282409604241966234288777068544, 45671926166590726335069952848216804538059849728
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OFFSET

1,1


COMMENTS

This sequence is a subsequence of A110079 namely, if n is in the sequence then sigma(n)=2n2^d(n) where d(n) is number of positive divisors of n(see comments line of the sequence A110079). Sequence A110080 gives numbers n such that 4^n+2^n1 is prime.


LINKS



EXAMPLE

2^1299*(4^1300+2^13001) is in the sequence because 4^1300+2^13001 is prime.


MATHEMATICA

Do[If[PrimeQ[4^m+2^m1], Print[2^(m1)*(4^m+2^m1)]], {m, 52}]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



