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Woodall number
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==Generalization== A '''generalized Woodall number base ''b''''' is defined to be a number of the form ''n'' Γ ''b''<sup>''n''</sup> β 1, where ''n'' + 2 > ''b''; if a prime can be written in this form, it is then called a '''generalized Woodall prime'''. The smallest value of ''n'' such that ''n'' Γ ''b''<sup>''n''</sup> β 1 is prime for ''b'' = 1, 2, 3, ... are<ref name="tripod">[http://harvey563.tripod.com/GWlist.txt List of generalized Woodall primes base 3 to 10000]</ref> :3, 2, 1, 1, 8, 1, 2, 1, 10, 2, 2, 1, 2, 1, 2, 167, 2, 1, 12, 1, 2, 2, 29028, 1, 2, 3, 10, 2, 26850, 1, 8, 1, 42, 2, 6, 2, 24, 1, 2, 3, 2, 1, 2, 1, 2, 2, 140, 1, 2, 2, 22, 2, 8, 1, 2064, 2, 468, 6, 2, 1, 362, 1, 2, 2, 6, 3, 26, 1, 2, 3, 20, 1, 2, 1, 28, 2, 38, 5, 3024, 1, 2, 81, 858, 1, 2, 3, 2, 8, 60, 1, 2, 2, 10, 5, 2, 7, 182, 1, 17782, 3, ... {{OEIS|id=A240235}} {{As of|2021|11}}, the largest known generalized Woodall prime with base greater than 2 is 2740879 × 32<sup>2740879</sup> β 1.<ref>{{cite web |title=The Top Twenty: Generalized Woodall |url=https://primes.utm.edu/top20/page.php?id=45 |website=primes.utm.edu |access-date=20 November 2021}}</ref>
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