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A130139
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Let f denote the map that replaces k by the concatenation of its proper divisors, written in increasing order, each divisor being written in base 10 in the normal way. Then a(n) = prime reached when starting at 2n+1 and iterating f.
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5
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1, 3, 5, 7, 3, 11, 13, 1129, 17, 19, 37, 23, 5, 313, 29, 31, 311, 1129, 37, 313, 41, 43
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| If 2n+1 is 1 or a prime, set a(n) = 2n+1. If no prime is ever reached, set a(n) = -1.
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EXAMPLE
| n = 7: 2n+1 = 15 = 3*5 -> 35 = 5*7 -> 57 = 3*19 -> 319 = 11*29 -> 1129, prime, so a(7) = 1129.
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CROSSREFS
| Cf. A130140, A130141, A130142. A bisection of A120716.
Sequence in context: A099984 A130141 A130142 * A204938 A101088 A134487
Adjacent sequences: A130136 A130137 A130138 * A130140 A130141 A130142
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KEYWORD
| base,more,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jul 30 2007
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EXTENSIONS
| The value of a(22) is currently unknown.
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