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A101959 Indices of primes in sequence defined by A(0) = 27, A(n) = 10*A(n-1) - 23 for n > 0. 0
2, 8, 14, 20, 26, 86, 179, 1940, 3959, 4994, 8576 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Numbers n such that (220*10^n + 23)/9 is prime.

Numbers n such that digit 2 followed by n >= 0 occurrences of digit 4 followed by digit 7 is prime.

Numbers corresponding to terms <= 179 are certified primes.

With alternating signs, expansion of cosh(atan(x)).

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

2447 is prime, hence 2 is a term.

PROG

(PARI) a=27; for(n=0, 2000, if(isprime(a), print1(n, ", ")); a=10*a-23)

(PARI) for(n=0, 2000, if(isprime((220*10^n+23)/9), print1(n, ", ")))

CROSSREFS

Cf. A000533, A002275.

a(n) = A102954(n) - 1.

Sequence in context: A117104 A082933 A016933 * A133229 A161330 A046940

Adjacent sequences:  A101956 A101957 A101958 * A101960 A101961 A101962

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 16 12:15 EST 2012. Contains 205909 sequences.