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A251543 a(n) = smallest m such that b(m) is prime and b(m+2)/b(m) = prime(n), where b() = A098550(). 2
2, 3, 9, 101, 682, 2483, 31774, 532976 (list; graph; refs; listen; history; text; internal format)



So far a(n) is very roughly 2^(3n-6). Of course it is not known at present if this sequence is infinite (see A098550). It is not even known if there are infinitely many prime terms in A098550. [It is now known that A098550 is a permutation of the natural numbers, so all of the primes appear. See Applegate et al. - L. Edson Jeffery, Dec 30 2014]

a(8) appears to deviate from the formula 2^(3n-6) and is closer to 2^19 (than 2^18). - Chai Wah Wu, Dec 16 2014


Table of n, a(n) for n=1..8.

David L. Applegate, Hans Havermann, Bob Selcoe, Vladimir Shevelev, N. J. A. Sloane, and Reinhard Zumkeller, The Yellowstone Permutation, arXiv preprint arXiv:1501.01669, 2015.


Cf. A098550, A251542.

Sequence in context: A054544 A269993 A132537 * A248236 A153702 A280941

Adjacent sequences:  A251540 A251541 A251542 * A251544 A251545 A251546




David Applegate and N. J. A. Sloane, Dec 15 2014


a(8) from Chai Wah Wu, Dec 16 2014



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Last modified May 27 22:57 EDT 2017. Contains 287210 sequences.