A378745 a(n) = prime(n)^A378744(n).

4, 9, 125, 49, 161051, 2197, 410338673, 130321, 12167, 12200509765705829, 923521, 94931877133, 1555098314991537910888601, 11688200277601, 10779215329, 1174711139837, 15413179794770734626518662321719325259, 191707312997281, 8182718904632857144561, 19118715823042429491729074582041753821507871751, 58871586708267913

Offset

1,1

Comments

Terms are all present in A337372, i.e., are primitively prime-shift abundant.

Links

Antti Karttunen, Table of n, a(n) for n = 1..170

Formula

a(n) = A000040(n)^A378744(n).

Prog

(PARI) A378745(n) = { my(p=prime(n), q=prime(1+n)); for(k=1, oo, if(q^k > 2*(p^k), return(p^k))); };

Crossrefs

Cf. A000040, A003961, A337372, A378744.

Cf. also A378746.

Sequence in context: A225739 A065379 A063783 * A168138 A267898 A324981

Adjacent sequences: A378742 A378743 A378744 * A378746 A378747 A378748

Keyword

nonn,new

Author

Antti Karttunen, Dec 08 2024

Status

approved