A299795 Numbers of the form p*2^(p-1) where p is prime.

4, 12, 80, 448, 11264, 53248, 1114112, 4980736, 96468992, 7784628224, 33285996544, 2542620639232, 45079976738816, 189115999977472, 3307330976350208, 238690780250636288, 17005592192950992896, 70328211781017665536, 4943727411754159833088, 83822005070936202543104

Offset: 1

Author

Peter Luschny, Mar 03 2018

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 1..460

Crossrefs

A subsequence of A001787 and A300332.

Programs

Magma

[NthPrime(n)*2^(NthPrime(n) -1): n in [1..30]]; // G. C. Greubel, Mar 07 2018

Maple

Primes := select(isprime, [$1..71]):
seq(p*2^(p-1), p in Primes);

Mathematica

Table[Prime[n]*2^(Prime[n] -1), {n,1,30}] (* G. C. Greubel, Mar 07 2018 *)

PARI

a(n) = my(p = prime(n)); p*2^(p-1); \\ Michel Marcus, Mar 07 2018

Formula

From Michel Marcus, Mar 07 2018: (Start)

a(n) = prime(n)*2^(prime(n)-1).

a(n) = A000040(n)*A061286(n).

a(n) = A001787(A000040(n)).

(End)