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A101849 Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) + 27 for n > 0. 2
0, 1, 13, 19, 29, 43, 65, 259, 871, 8845 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Numbers n such that (360*10^n - 27)/9 is prime.

Numbers n such that digit 3 followed by n >= 0 occurrences of digit 9 followed by digit 7 is prime.

Numbers corresponding to terms <= 871 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

397 is prime, hence 1 is a term.

PROG

(PARI) a=37; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a+27)

(PARI) for(n=0, 1500, if(isprime((360*10^n-27)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275, A101155, A169830.

a(n) = A101398(n) - 1.

Sequence in context: A038954 A005106 A120140 * A141562 A108097 A102764

Adjacent sequences:  A101846 A101847 A101848 * A101850 A101851 A101852

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

8845 from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.