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A101133 Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 11 for n > 0. +0
1
0, 3, 15, 24, 28, 40, 46, 87, 1131, 1569, 3984 (list; graph; listen)
OFFSET

1,2

COMMENT

Numbers n such that (650*10^n - 11)/9 is prime.

Numbers n such that digit 7 followed by n >= 0 occurrences of digit 2 followed by digit 1 is prime.

Some of the larger entries may only correspond to probable 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

72221 is prime, hence 3 is a term.

PROGRAM

(PARI) a=71; for(n=0, 1200, if(isprime(a), print1(n, ", ")); a=10*a+11)

(PARI) for(n=0, 1200, if(isprime((650*10^n-11)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A103052(n) - 1.

Sequence in context: A009210 A142882 A161467 this_sequence A061386 A057780 A129024

Adjacent sequences: A101130 A101131 A101132 this_sequence A101134 A101135 A101136

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 December 15 00:47 EST 2009. Contains 170825 sequences.


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