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Search: id:A038601
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| A038601 |
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Prime numbers p such that the number of partitions of p is also a prime. |
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4
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| 2, 3, 5, 13, 157, 491, 863, 1621, 2633, 5347, 8117, 13513, 35227, 62311, 76367, 84017, 141637, 170537, 189353, 192667, 201821, 216617, 251677, 269257, 288203, 293621, 353807, 366103, 367621, 372023, 441703, 444167, 478571, 518657, 582371, 626333
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
Hisanori Mishima, Factorizations of many number sequences..
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EXAMPLE
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5 = (1+1+1+1+1+1,1+1+1+2,1+1+3,1+4,1+2+2,2+3,5) - partition(5) = 7; 5 and 7 are primes.
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MATHEMATICA
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Do[ If[ PrimeQ[n] && PrimeQ[ PartitionsP[n]], Print[n]], {n, 1, 10^5} ]
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CROSSREFS
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Cf. A046063, A000041, A070177.
Sequence in context: A041047 A120494 A164825 this_sequence A114747 A041639 A006985
Adjacent sequences: A038598 A038599 A038600 this_sequence A038602 A038603 A038604
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KEYWORD
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nonn
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AUTHOR
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Jeff Burch (gburch(AT)erols.com)
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EXTENSIONS
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More terms from Simon Plouffe (simon.plouffe(AT)gmail.com)
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 29 2001
Terms after 84017 added by Jacques Tramu (echolalie(AT)echolalie.com), Jun 26 2005
Corrected by T. D. Noe (noe(AT)sspectra.com), Oct 31 2006
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