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a(3) = 29 is the smallest prime (and 10-th10th prime) such that there is a smaller 8-th8th prime: 19 and (29 - 19) / (10 - 8) = 5 is the third prime.

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a(n) is the smallest i-th prime p (i) such that there is a smaller j-th prime q and (p - q) / (prime(i) - prime(j))/(i - j) is the ) = prime(n-th) with primei > j.

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Donovan Johnson: Name changed.

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T. D. Noe: Suggest name change to something like: a(n) is the smallest prime(i) such that (prime(i) - prime(j))/(i - j) = prime(n).

5, 11, 29, 97, 641, 1373, 2591, 4327, 8009, 19661, 36451, 134581, 38543, 172969, 212777, 268403, 1784171, 860239, 1562053, 6085103, 6958813, 3422971, 5103029, 14723567, 47973451, 38394329, 36271783, 75837497, 59160181, 47326919, 111660697, 369706811, 323627951

a(3) = 29 is the smallest prime (and 10-th prime) such that there is a smaller 8-th prime : : 19 , and ( (29 - 19) / (10 - - 8) = 5 is the third prime.

nonn,more,new

a(26)-a(33) from Donovan Johnson, Jan 01 2014

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nonn,more,new

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