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An obstinate number is a positive odd integer which cannot be expressed as the sum of a power of $2$ and a prime.
The sequence of obstinate numbers begins:
- $1, 127, 149, 251, 331, 337, 373, 509, 599, 701, 757, 809, 877, 905, \ldots$
This sequence is A006285 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Also known as
Obstinate numbers are known according to some sources as de Polignac numbers, for Alphonse de Polignac.
- De Polignac's False Conjecture
- Results about obstinate numbers can be found here.