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A101968 Indices of primes in sequence defined by A(0) = 29, A(n) = 10*A(n-1) - 11 for n > 0. 0
0, 3, 33, 35, 41, 51, 162, 207, 215, 1416 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (250*10^n + 11)/9 is a prime.

Numbers n such that digit 2 followed by n >= 0 occurrences of digit 7 followed by digit 9 is a prime.

Numbers corresponding to terms <= 215 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

27779 is a prime, hence 3 is a term.

PROG

(PARI) a=29; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-11)

(PARI) for(n=0, 1500, if(isprime((250*10^n+11)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102959(n) - 1.

Sequence in context: A106423 A077328 A106413 * A103862 A180245 A084502

Adjacent sequences:  A101965 A101966 A101967 * A101969 A101970 A101971

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 23 2004

EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.