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The (p, p – 9) irregular primes are primes p such that (p, p − 9) is an irregular pair. The (p, p – 5) irregular primes are primes p such that (p, p − 5) is an irregular pair. The (p, p – 3) irregular primes are primes p such that (p, p − 3) is an irregular pair. Irregular primes are odd primes p that divide the category variety of the p-th cyclotomic field. Highly cototient primes are primes which might be a cototient more typically than any integer under it except 1.
As of 2018update, these are the only recognized Wolstenholme primes. As of 2018update, these are all recognized Wieferich primes with a ≤ 25. This part seems to contradict the article Wieferich prime on The definition of a Weiferich prime. The record of primes p for which the period size of the decimal growth of 1/p is exclusive (no different prime offers the identical period).
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