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A101961 Indices of primes in sequence defined by A(0) = 21, A(n) = 10*A(n-1) + 41 for n > 0. 0
1, 2, 4, 5, 11, 185, 434, 1745, 3446 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that (230*10^n - 41)/9 is prime.

Numbers n such that digit 2 followed by n >= 0 occurrences of digit 5 followed by digit 1 is prime.

Numbers corresponding to terms <= 434 are certified primes.

a(n) = A098930(n-1) - 1.

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

255551 is prime, hence 4 is a term.

PROG

(PARI) a=21; for(n=0, 1800, if(isprime(a), print1(n, ", ")); a=10*a+41)

(PARI) for(n=0, 1800, if(isprime((230*10^n-41)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275, A098930.

a(n) = A098930(n) - 1.

Sequence in context: A113058 A066145 A095022 * A090847 A056984 A117556

Adjacent sequences:  A101958 A101959 A101960 * A101962 A101963 A101964

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

3446 from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.