A336777 a(n) is the least number of repetitions such that the result of the repeated execution of the division f <- f/n started at f=1 produces 0, when the division is performed using 32-bit single precision floats according to the IEEE 754 standard.

151, 96, 76, 66, 59, 55, 51, 49, 47, 45, 43, 42, 41, 40, 39, 38, 37, 37, 36, 36, 35, 35, 34, 34, 33, 33, 33, 32, 32, 32, 31, 31, 31, 31, 31, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 29, 28, 28, 28, 28, 28, 28, 28, 27, 27, 27, 27, 27, 27, 27, 27, 27, 26, 26, 26, 26

Offset: 2

Author

Hugo Pfoertner, Aug 07 2020

Keywords

• nonn
• fini

Comments

See A336774 for more information and links.

In contrast to multiplication (A336776), a larger range of values can be used in division by using leading zeros in the significands. The underflow gap is filled by using denormal numbers, also called subnormal numbers.

Links

• Hugo Pfoertner, Comparison with 128-bit results, range n=2..128, computed on x86-64 architecture.
• Wikipedia, Denormal number.

Crossrefs

Cf. A336774, A336775, A336776, A336778, A337779, A336780, A336781.