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 A094663 Prime numerators of the sums of the ratios of consecutive primes. 1
 2, 19, 3023, 3469898586979325623, 2502544963063007045084611872632077 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The next term is too large to include. Prime terms of A091852. Sum of reciprocals = 0.5577902661277818841795751911... LINKS Amiram Eldar, Table of n, a(n) for n = 1..9 EXAMPLE 3023 is a term since 2/3 + 3/5 + 5/7 + 7/11 = 3023/1155 and 3023 is prime. MATHEMATICA Select[Numerator/@Accumulate[First[#]/Last[#]&/@ Partition[Prime[ Range[50]], 2, 1]], PrimeQ] (* Harvey P. Dale, Apr 23 2011 *) PROG (PARI) consecpr2(n) = {my(s=0, y=0, z); forprime(x=2, n, y+=x/nextprime(x+1); z=numerator(y); s+=1./z; if(isprime(z), print1(z", ")) ); print(); print(s) } CROSSREFS Cf. A091852. Sequence in context: A172028 A365050 A024229 * A274762 A091688 A306207 Adjacent sequences: A094660 A094661 A094662 * A094664 A094665 A094666 KEYWORD nonn AUTHOR Cino Hilliard, Jun 06 2004 EXTENSIONS Offset corrected by Amiram Eldar, Jun 26 2024 STATUS approved

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Last modified August 5 18:18 EDT 2024. Contains 374954 sequences. (Running on oeis4.)