A395737 Integers x such that there exist four integers 0<y<=z<=t<=w such that sigma(x)^3*psi(x)*phi(x) = x^5 + y^5 + z^5 + t^5 + w^5.

194, 1272, 1680, 4200

Offset

1,1

Comments

The numbers x, y, z, t and w form a sigma^3*psi*phi-quintic quintuple.

Links

Table of n, a(n) for n=1..4.

S. I. Dimitrov, Python program (GitHub)

Example

(194, 19, 37, 83, 213) is such a quintuple because sigma(194)^3 * psi(194) * phi(194) = 294^3 * 294 * 96 = 194^5 + 19^5 + 37^5 + 83^5 + 213^5.

Prog

(Python) # See Links.

Crossrefs

Cf. A000010, A000203, A001615, A003350, A386672, A390006.

Sequence in context: A248549 A278123 A158224 * A205621 A205356 A281807

Adjacent sequences: A395734 A395735 A395736 * A395738 A395739 A395740

Keyword

nonn,hard,more

Author

S. I. Dimitrov, Jun 15 2026

Status

approved