A073856 -id:A073856 - cp's OEIS frontend

A073857 a(1) = 1, a(n) = prime obtained as a partial sum of A073856.

1, 5, 13, 29, 61, 4157, 284093, 656100284093, 20339100284093, 3676497540347069, 39705294559311037, 417030640378385569837512131773, 417030640384887681260010079421, 329539483223485065027237875106125186237

Offset: 1

Amarnath Murthy, Aug 15 2002

nonn

Robert Israel, Table of n, a(n) for n = 1..239

Cf. A073856.

B:= 1: S:= {1}: s:= 1:
for n from 2 to 20 do
  for k from 2 do
    v:= k^n;
    if member(v,S) then next fi;
    if isprime(s+v) then R:= R,v; B:= B, s+v; S:= S union {v}; s:= s+v; fi;
od od:
B; # Robert Israel, Sep 27 2024

More terms from R. J. Mathar, Jun 27 2007

A239280 Powers of 2 that are sum of prime(k) + k for some k.

Original entry on oeis.org

8, 16, 32, 4096

Offset: 1

Zak Seidov, Mar 14 2014

a(5) > 2^47. - Giovanni Resta, Mar 14 2014

a(5) > 2^62 if it exists. - Chai Wah Wu, Apr 28 2018

			3 + prime(3) = 8 = 2^3.
5 + prime(5) = 16 = 2^4.
9 + prime(9) = 32 = 2^5.
503 + prime(503) = 4096 = 2^12.

Cf. A014688, A064371, A073856, A107606.

cp's OEIS Frontend

A073857 a(1) = 1, a(n) = prime obtained as a partial sum of A073856.

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A239280 Powers of 2 that are sum of prime(k) + k for some k.

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