Journal of Integer Sequences, Vol. 8 (2005), Article 05.3.3

Prime and Composite Terms in Sloane's Sequence A056542

Tom Müller
Institute for Cusanus-Research
University and Theological Faculty of Trier
Domfreihof 3
54290 Trier

Abstract: We give the complete factorization of the first fifty terms of the sequence an := nan-1+1 with a1 := 0. We searched the terms an for primes up to n=1019 with the result that only the indexes 4, 8, 18, 20 and 70 provide primes. A final section deals with some conjectures on prime terms in this sequence.

(Concerned with sequences A056542 and A070213 .)

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Received November 2 2004; revised version received June 24 2005. Published in Journal of Integer Sequences July 6 2005.

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