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Search: id:A163589
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| A163589 |
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Primes in the chain of repeated application of x->2*x+3, starting at x=1427. |
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| 1427, 2857, 5717, 11437, 22877, 45757, 183037, 366077, 732157, 23429117, 1499463677, 191931351037, 98268851732477, 393075406929917, 6289206510878717, 50313652087029757, 100627304174059517, 201254608348119037, 12880294934279618557
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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All primes created that way are congruent to 712 (mod 715).
Numbers in the chain may not be prime, for example 2*45757+3 = 91517.
The first primes congruent to 712 (mod 715) that are missed by the
chain are 10007, 15727 and 18587.
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EXAMPLE
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p=1427 is prime and put into the sequence. 2*1427+3 = 2857 is prime and put into the sequence.
2*2857+3=5717 is prime and put into the sequence.
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MAPLE
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x := 1427 ; for i from 1 to 80 do if isprime(x) then printf("%d, ", x) ; end if; x := 2*x+3 ; end do: # R. J. Mathar, Aug 02 2009
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CROSSREFS
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Sequence in context: A083428 A068572 A153426 this_sequence A156854 A094230 A060364
Adjacent sequences: A163586 A163587 A163588 this_sequence A163590 A163591 A163592
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 01 2009
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EXTENSIONS
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Definition corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 01 2009
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