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 A079066 "Memory" of prime(n): the number of (previous) primes contained as substrings in prime(n). 17
 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 3, 2, 3, 4, 2, 0, 1, 2, 1, 2, 4, 3, 0, 1, 2, 3, 1, 2, 3, 2, 2, 3, 3, 2, 2, 3, 2, 1, 3, 2, 1, 3, 3, 2, 3, 3, 4, 2, 3, 3, 1, 3, 3, 3, 4, 4, 2, 2, 3, 0, 0, 2, 1, 3, 2, 2, 2, 0, 2, 1, 1, 2, 3, 1, 0, 0, 2, 1, 2, 4, 2, 3, 2, 2, 1, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,9 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A039997(prime(n)) - 1. EXAMPLE The primes contained as substrings in prime(3) = 113 are 3, 11, 13. Hence a(30) = 3. 113 is the smallest prime with memory = 3. MATHEMATICA ub = 105; tprime = Table[ToString[Prime[i]], {i, 1, ub}]; a = {}; For[i = 1, i <= ub, i++, m = 0; For[j = 1, j < i, j++, If[Length[StringPosition[tprime[[i]], tprime[[j]]]] > 0, m = m + 1]]; a = Append[a, m]]; a PROG (Haskell) import Data.List (isInfixOf) a079066 n = length \$ filter (`isInfixOf` (primesDec !! n)) \$ take n primesDec primesDec = "_" : map show a000040_list -- Reinhard Zumkeller, Jul 19 2011 CROSSREFS Cf. A079075, A035232. Cf. A033274, A179909, A179910, A179911, A179912, A179913, A179914, A179915, A179916, A179917, A179918, A179919, A179922. Sequence in context: A025925 A240857 A109066 * A157188 A329257 A173266 Adjacent sequences: A079063 A079064 A079065 * A079067 A079068 A079069 KEYWORD base,easy,nonn AUTHOR Joseph L. Pe, Feb 02 2003 EXTENSIONS Edited by Robert G. Wilson v, Feb 25 2003 STATUS approved

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Last modified December 4 05:49 EST 2023. Contains 367541 sequences. (Running on oeis4.)