A334558 Numbers m such that m^2 + p^2 = k^2, with p > 0, where p = A007954(m) = the product of digits of m.

429, 437, 598, 1938, 3584, 3875, 5576, 6864, 16758, 36828, 43778, 47775, 47859, 56637, 56672, 82928, 91798, 129584, 156782, 165688, 165838, 178857, 215985, 379488, 655578, 798847, 1881576, 2893337, 3918768, 4816872, 5439798, 5829795, 7558299, 9675288, 11943887

Offset: 1

Author

Scott R. Shannon, May 06 2020

Keywords

• nonn
• base

Examples

			429 is a term as p = 4*2*9 = 72 and 429^2 + 72^2 = 189225 = 435^2.
16758 is a term as p = 1*6*7*5*8 = 1680 and 16758^2 + 1680^2 = 283652964 = 16842^2.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..147 (terms < 2*10^13)

Crossrefs

Cf. A007954, A000404, A078134, A334542, A334557.

Programs

PARI

isok(m) = my(p=vecprod(digits(m))); p && issquare(m^2 + p^2); \\ Michel Marcus, May 06 2020