|
Search: id:A101130
|
|
|
| A101130 |
|
Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 81 for n > 0. |
|
+0
1
|
|
| 0, 1, 3, 5, 10, 11, 12, 34, 45, 56, 127, 155, 262, 352, 395, 428, 782, 981, 1057, 1562, 1694, 1815, 1936, 4235, 4430, 6857, 9897
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
Numbers n such that 70*10^n + 9 is prime.
Numbers n such that digit 7 followed by n >= 0 occurrences of digit 0 followed by digit 9 is prime.
Numbers corresponding to terms <= 981 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
|
70009 is prime, hence 3 is a term.
|
|
PROGRAM
|
(PARI) a=79; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-81)
(PARI) for(n=0, 1500, if(isprime(70*10^n+9), print1(n, ", ")))
|
|
CROSSREFS
|
Cf. A000533, A002275.
a(n) = A097954(n) - 1.
Adjacent sequences: A101127 A101128 A101129 this_sequence A101131 A101132 A101133
Sequence in context: A069193 A078430 A113858 this_sequence A102309 A067230 A075741
|
|
KEYWORD
|
nonn,hard,more
|
|
AUTHOR
|
Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 03 2004
|
|
EXTENSIONS
|
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
|
|
|
Search completed in 0.002 seconds
|
