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 A239685 Prime numbers for which the sum of reciprocals of nonzero digits equals 1. 0
 263, 2063, 4463, 4643, 6203, 20063, 26003, 60443, 62003, 64403, 68483, 69929, 86843, 88463, 88643, 92699, 200063, 260003, 260999, 296099, 296909, 400643, 406403, 406883, 446003, 449699, 460403, 464003, 464999, 468803, 488603, 494699, 496499, 496949, 499649 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes in A214959. Property of the sequence: a(n) == 3 or 9 (mod 10). If n contains nonzero digits, each number > 263 contains at least two identical digits, and the subsequence of the corresponding sum of reciprocals of digits (primes in A037268) is finite. LINKS EXAMPLE 2063 is in the sequence because 1/2 + 1/6 + 1/3 = 1. MAPLE with(numtheory):nn:=500000:for m from 1 to nn do:n:=ithprime(m):y:=convert(n, base, 10):n2:=nops(y):s:=0:for i from 1 to n2 do: if y[i]<>0 then s:=s+1/y[i]:else fi:od:if s=1 then printf(`%d, `, n):else fi:od: MATHEMATICA Select[Prime[Range[42000]], Total[1/Select[IntegerDigits[#], #!=0&]]==1&] (* Harvey P. Dale, May 31 2019 *) CROSSREFS Cf. A037268, A214959. Sequence in context: A343192 A023314 A054802 * A108823 A229480 A266036 Adjacent sequences:  A239682 A239683 A239684 * A239686 A239687 A239688 KEYWORD nonn,base AUTHOR Michel Lagneau, Mar 24 2014 STATUS approved

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Last modified July 3 10:25 EDT 2022. Contains 355050 sequences. (Running on oeis4.)