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A101143 Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 41 for n > 0. 0
0, 1, 4, 6, 22, 31, 37, 46, 115, 139, 228, 246, 733, 930, 1345, 2161, 2545, 6979 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that (680*10^n - 41)/9 is prime.

Numbers n such that digit 7 followed by n >= 0 occurrences of digit 5 followed by digit 1 is prime.

Numbers corresponding to terms <= 930 are certified primes.

REFERENCES

Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.

LINKS

Makoto Kamada, Factorizations of near-repdigit numbers.

EXAMPLE

751 is prime, hence 1 is a term.

PROG

(PARI) a=71; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+41)

(PARI) for(n=0, 1500, if(isprime((680*10^n-41)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A103060(n) - 1.

Sequence in context: A002270 A088228 A108636 * A083157 A192154 A151519

Adjacent sequences:  A101140 A101141 A101142 * A101144 A101145 A101146

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) 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

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Last modified February 17 09:41 EST 2012. Contains 206009 sequences.