A073927 Smallest n-th power >1 such that every partial sum is a prime.

2, 9, 8, 160000, 7962624, 191102976, 34359738368, 256, 692533995824480256, 604661760000000000, 743008370688, 149587343098087735296, 2316779994178213904384, 268435456, 30517578125000000000000000

Offset

1,1

Links

Table of n, a(n) for n=1..15.

Maple

a[1] := 2:for n from 2 to 50 do i := 2:iss := false:while(iss=false) do iss := true: if isprime(sum(a[j], j=1..n-1)+i^n)=false then iss := false:fi:i := i+1:od:i := i-1: a[n] := i^n:od:seq(a[l], l=1..50);

Crossrefs

Sequence in context: A073904 A036879 A281389 * A198358 A145427 A348637

Adjacent sequences: A073924 A073925 A073926 * A073928 A073929 A073930

Keyword

nonn

Author

Amarnath Murthy, Aug 19 2002

Extensions

More terms from Vladeta Jovovic and Sascha Kurz, Aug 19 2002

Status

approved