A071632 -id:A071632 - cp's OEIS frontend

A071634 Number of terms in the set InvPhi(1048576*prime(n)), where prime(n) is the n-th prime.

23, 112, 81, 64, 75, 48, 36, 28, 43, 68, 14, 80, 35, 50, 0, 43, 28, 28, 46, 52, 44, 32, 38, 49, 48, 37, 10, 34, 24, 47, 34, 65, 19, 28, 59, 20, 32, 82, 15, 30, 61, 32, 48, 62, 10, 32, 2, 26, 18, 16, 65, 77, 0, 46, 8, 0, 43, 18, 56, 60, 0, 38, 40, 13, 36, 26, 44, 46, 41, 12, 0

Offset: 1

Labos Elemer, May 30 2002

nonn

			InvPhi(1048576*211) = {221249537,442499074}, a(47) = 2.
Observe that a(15) = 0 because 47 needs a very large 2^i multiplier (instead of 1048576) to give a nonempty InvPhi set.

Donovan Johnson, Table of n, a(n) for n = 1..1000
Max Alekseyev, PARI/GP Scripts for Miscellaneous Math Problems (invphi.gp).

Cf. A000010, A002202, A005277, A007617, A058888, A071629, A071630, A071631, A071632, A071633.

>[seq(nops(invphi(1048576*ithprime(i))),i=1..128)];

a(n) = invphiNum(1048576 * prime(n)); \\ Amiram Eldar, Nov 11 2024, using Max Alekseyev's invphi.gp

A071633 Number of terms in the set InvPhi(65536*prime(n)), where prime(n) is the n-th prime.

Original entry on oeis.org

19, 82, 59, 46, 56, 34, 26, 20, 31, 52, 10, 56, 24, 34, 0, 30, 20, 20, 32, 37, 32, 24, 30, 37, 34, 24, 2, 26, 16, 35, 22, 46, 15, 20, 38, 14, 20, 58, 11, 22, 42, 24, 33, 46, 3, 20, 0, 18, 10, 12, 44, 56, 0, 29, 8, 0, 31, 14, 38, 44, 0, 30, 28, 9, 24, 18, 30, 34, 29, 8, 0, 50, 6

Offset: 1

Labos Elemer, May 30 2002

nonn

			invphi(65536*103) = {6750209,13500418}, so a(27) = 2.
Observe that a(15) = 0 because 47 needs very large 2^i multiplier (instead of 65536) to give nonempty InvPhi set.

Donovan Johnson, Table of n, a(n) for n = 1..1000
Max Alekseyev, PARI/GP Scripts for Miscellaneous Math Problems (invphi.gp).

Cf. A000010, A005277, A007617, A058888, A002202, A071629, A071630, A071631, A071632, A071634.

[seq(nops(invphi(65536*ithprime(i))),i=1..128)];

a(n) = invphiNum(65536 * prime(n)); \\ Amiram Eldar, Nov 11 2024, using Max Alekseyev's invphi.gp

cp's OEIS Frontend

A071634 Number of terms in the set InvPhi(1048576*prime(n)), where prime(n) is the n-th prime.

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