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A073036 Take A000040, omit commas: 23571113171923..., select primes seen when scanning three consecutive digits from left. 0

%I #10 Feb 03 2019 18:24:13

%S 571,113,131,317,719,293,313,137,347,359,167,677,173,379,983,389,997,

%T 971,101,11,103,31,107,71,109,911,113,131,127,271,131,311,113,137,139,

%U 149,491,151,157,571,163,631,167,173,317,179,181,811,191,911,193,197

%N Take A000040, omit commas: 23571113171923..., select primes seen when scanning three consecutive digits from left.

%C Because leading zeroes are permitted, some of the terms have less than three digits. The first single-digit term is a(371). - _Harvey P. Dale_, Feb 03 2019

%e In the sequence 2357111317192329... (primes without delimiters) 3-digit primes are: 571, 113, 131, 317,

%t p200=Flatten[IntegerDigits[Prime[Range[200]]]]; n=3; (* n-digit primes!*) pn=Partition[p200, n, 1]; ln=Length[pn]; tab=Table[Sum[10^(n-k)*pn[[i, k]], {k, n}], {i, ln}]; Select[tab, PrimeQ]

%t Select[FromDigits/@Partition[Flatten[IntegerDigits/@Prime[ Range[ 50]]],3,1],PrimeQ] (* _Harvey P. Dale_, Feb 03 2019 *)

%K easy,nonn,base

%O 1,1

%A _Zak Seidov_, Aug 22 2002

%E Definition clarified by _Harvey P. Dale_, Feb 03 2019

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Last modified May 9 19:33 EDT 2024. Contains 372354 sequences. (Running on oeis4.)