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A101139
Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 31 for n > 0.
1
0, 3, 5, 6, 9, 15, 21, 30, 1314, 2063, 6149, 8706, 12251, 18609, 21629, 41711, 44807, 45420
OFFSET
1,2
COMMENTS
Numbers n such that (670*10^n - 31)/9 is prime.
Numbers n such that digit 7 followed by n >= 0 occurrences of digit 4 followed by digit 1 is prime.
Some of the larger entries may only correspond to probable primes.
a(19) > 10^5. - Robert Price, Sep 28 2015
REFERENCES
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
FORMULA
a(n) = A103057(n) - 1.
EXAMPLE
74441 is prime, hence 3 is a term.
MATHEMATICA
Select[Range[0, 100000], PrimeQ[(670*10^# - 31)/9] &] (* Robert Price, Sep 28 2015 *)
PROG
(PARI) a=71; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+31)
(PARI) for(n=0, 1500, if(isprime((670*10^n-31)/9), print1(n, ", ")))
(Magma) [n: n in [0..1000] | IsPrime((670*10^n-31) div 9)]; // Vincenzo Librandi, Sep 29 2015
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 03 2004
EXTENSIONS
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
a(13)-a(18) from Kamada data by Ray Chandler, Apr 30 2015
STATUS
approved