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A135375 Smallest prime made up of strings of all first n digits concatenated in ascending order and sandwiched between two 1's. 0

%I #5 May 13 2013 01:48:45

%S 101,10111,101221,10001231,101123441,1001233451,1012345661,

%T 101123456671,101223456781,1012334567891

%N Smallest prime made up of strings of all first n digits concatenated in ascending order and sandwiched between two 1's.

%e a(6)=1001233451 because the first 6 digits 0,1,2,3.4,5 appear in this order as concatenated strings of 00,1,2,33,4,5 in between the two end 1's ; This prime is the smallest since it is followed by 1011234451,10012334551,10122223451,...

%o (Shell) # Run on a list of primes

%o grep -m1 '^10+1$' primelistgrep -m1 '^10+1+1$' primelist

%o grep -m1 '^10+1+2+1$' primelist

%o grep -m1 '^10+1+2+3+1$' primelist

%o grep -m1 '^10+1+2+3+4+1$' primelist

%o grep -m1 '^10+1+2+3+4+5+1$' primelist

%o grep -m1 '^10+1+2+3+4+5+6+1$' primelist

%o grep -m1 '^10+1+2+3+4+5+6+7+1$' primelist

%o grep -m1 '^10+1+2+3+4+5+6+7+8+1$' primelist

%o grep -m1 '^10+1+2+3+4+5+6+7+8+9+1$' primelist

%K fini,full,nonn,base

%O 1,1

%A _Lekraj Beedassy_, Dec 09 2007

%E Program from _Charles R Greathouse IV_, Nov 19 2010.

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Last modified August 8 03:39 EDT 2024. Contains 375018 sequences. (Running on oeis4.)