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A101837 Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) - 13 for n > 0. 0
0, 2, 5, 11, 32, 68, 110, 1964, 5645, 7403 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (320*10^n + 13)/9 is prime.

Numbers n such that digit 3 followed by n >= 0 occurrences of digit 5 followed by digit 7 is prime.

Numbers corresponding to terms <= 110 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

3557 is prime, hence 2 is a term.

PROG

(PARI) a=37; for(n=0, 2000, if(isprime(a), print1(n, ", ")); a=10*a-13)

(PARI) for(n=0, 2000, if(isprime((320*10^n+13)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102972(n) - 1.

Sequence in context: A190865 A139464 A174537 * A124483 A079571 A151395

Adjacent sequences:  A101834 A101835 A101836 * A101838 A101839 A101840

KEYWORD

nonn,hard,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 20 2004

EXTENSIONS

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

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.