A344714 Numbers k such that A008477(k) > k.

8, 25, 49, 98, 100, 121, 125, 169, 196, 200, 216, 225, 242, 289, 338, 343, 361, 363, 392, 400, 441, 484, 500, 507, 529, 578, 605, 625, 675, 676, 686, 722, 726, 784, 841, 845, 847, 867, 882, 900, 961, 968, 1000, 1014, 1029, 1058, 1083, 1089, 1125, 1156, 1183, 1210

Offset: 1

Author

Jianing Song, May 27 2021

Keywords

• nonn

Comments

Not closed under multiplication: 8, 100 are terms, but 800 = 8 * 100 is in A008478. Obviously, the product of two coprime terms is again a term.

For primes p, p^e is a term if and only if p^e = 8, or p > e >= 2 and p^e != 9.

Examples

			For primes p >= 5, p^2 is a term since 2^p >= p^2.
98 is a term since A008477(98) = A008477(2^1 * 7^2) = 1^2 * 2^7 = 128 > 98.
		

Links

• Jianing Song, Table of n, a(n) for n = 1..15731 (All terms <= 10^6).

Crossrefs

Cf. A008477, A008478 (numbers k such that A008477(k) = k).

Programs

PARI

isA344714(n) = (factorback(factor(n)*[0, 1; 1, 0])>n) \\ following program for A008477