|
Search: id:A101714
|
|
|
| A101714 |
|
Indices of primes in sequence defined by A(0) = 47, A(n) = 10*A(n-1) - 63 for n > 0. |
|
+0 1
|
| |
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Numbers n such that 40*10^n + 7 is prime.
Numbers n such that digit 4 followed by n >= 0 occurrences of digit 0 followed by digit 7 is prime.
Some of the larger entries may only correspond to probable primes.
|
|
REFERENCES
|
Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.
|
|
EXAMPLE
|
4007 is prime, hence 2 is a term.
|
|
PROGRAM
|
(PARI) a=47; for(n=0, 1500, if(isprime(a), print1(n, ", ")); a=10*a-63)
(PARI) for(n=0, 1500, if(isprime(40*10^n+7), print1(n, ", ")))
|
|
CROSSREFS
|
Cf. A000533, A002275.
a(n) = A101395(n) - 1.
Sequence in context: A058786 A096654 A060389 this_sequence A077318 A082014 A154133
Adjacent sequences: A101711 A101712 A101713 this_sequence A101715 A101716 A101717
|
|
KEYWORD
|
nonn,hard,more
|
|
AUTHOR
|
Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 14 2004
|
|
|
Search completed in 0.002 seconds
|