A228610 -id:A228610 - cp's OEIS frontend

A228611 Primes p such that the largest consecutive pair of p-smooth integers is the same as the largest consecutive pair of (p-1)-smooth integers.

23, 67, 83, 89, 97, 101

Offset: 1

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Don N. Page, Dec 18 2013

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For each such prime p = a(n), the smallest superparticular ratio R = m/(m-1) such that R factors into primes less than or equal to p have all of these prime factors strictly less than p.

p = a(n) here equals prime(k) for the values of k that make a(k) = a(k-1) in A002072 and also in A117581.

			For n = 1, a(1) = 23 is a prime such that the largest consecutive pair of 23-smooth integers, (11859210,11859211), is the same as the largest consecutive pair of 22-smooth integers (or of 19-smooth integers, 19 being the next smaller prime).

Cf. A002072, A117581, A228610 gives the index of the prime that is a(n) here.

cp's OEIS Frontend

A228611 Primes p such that the largest consecutive pair of p-smooth integers is the same as the largest consecutive pair of (p-1)-smooth integers.

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