|
| |
|
|
A101577
|
|
Indices of primes in sequence defined by A(0) = 59, A(n) = 10*A(n-1) - 51 for n > 0.
|
|
0
| | |
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| Numbers n such that (480*10^n + 51)/9 is prime.
Numbers n such that digit 5 followed by n >= 0 occurrences of digit 3 followed by digit 1 is prime.
Numbers corresponding to terms <= 714 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
| 59 is prime, hence 0 is a term.
|
|
|
PROG
| (PARI) a=59; for(n=0, 1000, if(isprime(a), print1(n, ", ")); a=10*a-51)
(PARI) for(n=0, 1000, if(isprime((480*10^n+51)/9), print1(n, ", ")))
|
|
|
CROSSREFS
| Cf. A000533, A002275.
a(n) = A103012(n) - 1.
Sequence in context: A020175 A118698 A103381 * A051413 A167283 A085434
Adjacent sequences: A101574 A101575 A101576 * A101578 A101579 A101580
|
|
|
KEYWORD
| nonn,more
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 09 2004
|
|
|
EXTENSIONS
| More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
|
| |
|
|