A218071 Subsequence of A217679 where iterations (giving primes through 'extended' interbase translation) reach a single digit.

170, 241, 256, 262, 280, 358, 408, 590, 592, 616, 646, 698, 700, 724, 728, 766, 784, 844, 897, 926, 930, 968, 970, 990, 1026, 1036, 1078, 1098, 1102, 1210, 1222, 1236, 1238

Offset

1,1

Comments

This is a peripheral spin-off sequence--the 4th in a set--to a collection dealing with a complex of coincidences concerning interbase translation (the substitution of digits from the representation of a number in one base to another, essentially number-->polynomial-->number). The word 'extended' is in the title to distinguish between the more usual case of such translations being done from a smaller to a larger base and the opposite case where the digital substitution can only be generally done formally because of digits being greater than or equal to the second base. See cross-referenced sequences for the initiating material. The entries here answer the question of which bases take a certain prime to a prime below that base.

Links

Table of n, a(n) for n=1..33.

Crossrefs

Cf. A217673, A217679, A217680.

Sequence in context: A045002 A163556 A229467 * A113789 A261550 A043690

Adjacent sequences: A218068 A218069 A218070 * A218072 A218073 A218074

Keyword

nonn,fini,base

Author

James G. Merickel, Oct 19 2012

Status

approved