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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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3
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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.
Adjacent sequences: A038598 A038599 A038600 this_sequence A038602 A038603 A038604
Sequence in context: A117740 A041047 A120494 this_sequence A114747 A041639 A006985
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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 (plouffe(AT)math.uqam.ca)
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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