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A258877
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Primes p=prime(m) such that both p and m have the same digital root.
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4
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97, 131, 199, 263, 349, 457, 479, 521, 541, 617, 661, 733, 829, 839, 881, 1039, 1049, 1091, 1103, 1277, 1289, 1301, 1361, 1433, 1487, 1499, 1549, 1571, 1759, 1913, 1933, 1993, 2089, 2099, 2129, 2141, 2221, 2273, 2357, 2377, 2389, 2441
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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Both 97 = prime(25) and 25 have digital root = 7,
both 131 = prime(32) and 32 have digital root = 5.
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MATHEMATICA
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Reap[Do[If[FixedPoint[Total[IntegerDigits[#]]&, n]==Mod[(p=Prime[n]), 9], Sow[p]], {n, 439}]][[2, 1]]
Prime[Select[Range@370, Mod[#, 9]==Mod[Prime[#], 9]&]] (* Ivan N. Ianakiev, Jun 18 2015 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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