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A051961
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Smallest number w such that A051953(w) = w - phi(w) is the n-th prime.
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1
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4, 9, 25, 15, 35, 33, 65, 51, 95, 161, 87, 217, 185, 123, 215, 329, 371, 177, 427, 335, 213, 511, 395, 581, 1501, 485, 303, 515, 321, 545, 255, 635, 917, 411, 1529, 447, 1057, 1099, 455, 1169, 1211, 537, 1991, 573, 965, 591, 435, 2743, 1115, 681, 665
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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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A050530(a(n)) = prime(n) and a(n) is the least number with this property.
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EXAMPLE
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The 31st term is 255 since 255 - phi(255) = 127, the 31st prime, and no number less than 255 has this property.
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MATHEMATICA
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With[{c=Table[n-EulerPhi[n], {n, 4000}]}, Table[Position[c, p, 1, 1], {p, Prime[ Range[ 60]]}]]//Flatten (* Harvey P. Dale, Sep 14 2020 *)
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PROG
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(PARI) a(n) = {my(k = 1); while(k - eulerphi(k) != prime(n), k++); k; } \\ Michel Marcus, Feb 02 2015
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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