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A101587
Indices of primes in sequence defined by A(0) = 51, A(n) = 10*A(n-1) + 71 for n > 0.
1
2, 4, 5, 20, 308, 815, 857, 1114, 1418, 1688, 12008, 18692, 28097, 90964
OFFSET
1,1
COMMENTS
Numbers n such that (530*10^n - 71)/9 is prime.
Numbers n such that digit 5 followed by n >= 0 occurrences of digit 8 followed by digit 1 is prime.
Numbers corresponding to terms <= 857 are certified primes.
a(15) > 10^5. - Robert Price, Sep 08 2015
REFERENCES
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
FORMULA
a(n) = A103022(n) - 1.
EXAMPLE
5881 is prime, hence 2 is a term.
MATHEMATICA
Select[Range[0, 300], PrimeQ[(530*10^# - 71)/9] &] (* Robert Price, Sep 08 2015 *)
PROG
(PARI) a=51; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+71)
(PARI) for(n=0, 1500, if(isprime((530*10^n-71)/9), print1(n, ", ")))
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 09 2004
EXTENSIONS
1688 from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
a(11)-a(13) from Kamada data by Ray Chandler, Apr 30 2015
a(14) from Robert Price, Sep 08 2015
STATUS
approved