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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A079090 Sum of distinct prime factors of (prime(n)+1)*(prime(n+1)+1)/4. 4 3, 5, 5, 5, 12, 10, 10, 10, 10, 10, 21, 29, 23, 16, 5, 10, 41, 50, 22, 42, 44, 17, 17, 15, 27, 35, 18, 21, 38, 24, 16, 39, 40, 17, 29, 100, 122, 53, 41, 39, 30, 25, 102, 111, 21, 60, 62, 31, 52, 44, 23, 21, 23, 55, 59, 21, 27, 158, 189, 123, 83, 23, 36, 175, 213, 141, 98, 47 (list; graph; refs; listen; history; text; internal format) OFFSET 1,1 COMMENTS a(n)=A008472(A079079(n)). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 MATHEMATICA Total[Transpose[FactorInteger[((#[[1]]+1)(#[[2]]+1))/4]][[1]]]&/@ Partition[Prime[Range[70]], 2, 1] (* Harvey P. Dale, Apr 24 2015 *) PROG (Haskell) a079090 = a008472 . a079079 -- Reinhard Zumkeller, Oct 09 2012 CROSSREFS Cf. A079091, A079089, A079085. Sequence in context: A023828 A120133 A088961 * A182262 A273085 A329765 Adjacent sequences: A079087 A079088 A079089 * A079091 A079092 A079093 KEYWORD nonn AUTHOR Reinhard Zumkeller, Dec 22 2002 STATUS approved

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Last modified August 19 03:17 EDT 2024. Contains 375284 sequences. (Running on oeis4.)