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A101970 Indices of primes in sequence defined by A(0) = 23, A(n) = 10*A(n-1) + 53 for n > 0. 0
0, 1, 6, 27, 72, 294, 493, 597, 2599, 3729, 7548 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that (260*10^n - 53)/9 is prime.

Numbers n such that digit 2 followed by n >= 0 occurrences of digit 8 followed by digit 3 is prime.

Numbers corresponding to terms <= 597 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

283 is prime, hence 1 is a term.

PROG

(PARI) a=23; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+53)

(PARI) for(n=0, 1500, if(isprime((260*10^n-53)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102961(n) - 1.

Sequence in context: A190623 A085788 A027276 * A136105 A198958 A027313

Adjacent sequences:  A101967 A101968 A101969 * A101971 A101972 A101973

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 15 18:18 EST 2012. Contains 205835 sequences.