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Search: id:A145741
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| A145741 |
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Numbers p such that p+4*m^2 for m=0,1,2,3,...,10 are prime. |
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+0
6
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| 163, 409333, 1867783, 828497443, 2059599067, 5767711867, 8965599883, 9655686727, 9671300983, 12627473917, 19635778453, 31428255373, 76292280733, 140192390683, 141077258953, 141805795657, 150360096973, 176552953273, 186521536807, 250298387047
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OFFSET
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1,1
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COMMENT
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It is obvious that all terms are prime.
A very strange and interesting thing related to the first term : All 20 numbers 163+4*m^2 for m=0,1,2,...,19 are prime.
There are 3136 terms below 10^15, ending with 999926956948957. - Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Oct 24 2008
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LINKS
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Carlos Rivera, Consecutive even squares+prime=prime..
Carlos Rivera, Puzzle 464. p+4*x^2.
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EXAMPLE
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All 11 numbers 2059599067+4*m^2 for m=0,1,2,...,10 are prime.
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CROSSREFS
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Cf. A145742, A145743.
Sequence in context: A138932 A138200 A146504 this_sequence A127882 A045006 A063354
Adjacent sequences: A145738 A145739 A145740 this_sequence A145742 A145743 A145744
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KEYWORD
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nonn
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AUTHOR
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Farideh Firoozbakht (mymontain(AT)yahoo.com), Oct 17 2008
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EXTENSIONS
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More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Oct 24 2008
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