A101549 Composite lopsided numbers: composite numbers n such that the largest prime factor > 2 sqrt(n).

22, 26, 34, 38, 39, 46, 51, 57, 58, 62, 68, 69, 74, 76, 82, 86, 87, 92, 93, 94, 106, 111, 115, 116, 118, 122, 123, 124, 129, 134, 141, 142, 145, 146, 148, 155, 158, 159, 164, 166, 172, 174, 177, 178, 183, 185, 186, 188, 194, 201, 202, 203, 205, 206, 212, 213

Offset: 1

Author

T. D. Noe, Dec 06 2004

Keywords

• nonn

Comments

All primes > 3 are also lopsided. See A101550 for all lopsided numbers.

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000
• G. Everest, S. Stevens, D. Tamsett and T. Ward, Primitive Divisors of Quadratic Polynomial Sequences

Crossrefs

Cf. A063763 (composite n such that the largest prime factor > sqrt(n)), A064052 (n such that the largest prime factor > sqrt(n)).

Programs

Mathematica

Select[Range[2, 300], !PrimeQ[ # ]&&FactorInteger[ # ][[ -1, 1]]>2Sqrt[ # ]&]