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 A270884 Smallest of 4 consecutive prime numbers that when represented as a simple continued fraction, generates prime numbers in the numerator and denominator, when reduced. 1
 41, 367, 619, 659, 701, 2267, 2789, 3253, 3463, 6917, 8969, 9221, 11959, 13499, 14431, 17359, 17851, 20143, 22283, 23669, 26107, 27847, 28547, 28879, 29537, 32503, 32717, 32987, 37549, 40709, 40849, 41647, 45971 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Order in which the simple continued fraction generated is important. In this case increasing order. LINKS Abhiram R Devesh, Table of n, a(n) for n = 1..100 EXAMPLE for a = 41, the set is [41, 43, 47, 53] in simple continued fraction is 41 +       1      ----------------        43  +    1             ---------              47 + 1                  ----                   53 When reduced 4398061/107209; where 4398061 and 107209 are both primes. MATHEMATICA Select[Prime@ Range[10^4], AllTrue[{Numerator@ #, Denominator@ #} &@ FromContinuedFraction@ Prime@ Range[#, # + 3] &@ PrimePi@ #, PrimeQ] &] (* Michael De Vlieger, Apr 02 2016, Version 10 *) CROSSREFS Sequence in context: A196644 A196599 A142571 * A189438 A297586 A196576 Adjacent sequences:  A270881 A270882 A270883 * A270885 A270886 A270887 KEYWORD hard,nonn AUTHOR Abhiram R Devesh, Mar 25 2016 STATUS approved

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Last modified February 24 10:37 EST 2020. Contains 332209 sequences. (Running on oeis4.)