request for advice

Emeric Deutsch deutsch at duke.poly.edu
Sat Mar 11 20:02:30 CET 2006


Here is a short list of sequences that I have selected
(so it is biased) from the "Recent additions":

1. a(1)=a(2)=1. a(n) = AXXXXXX(a(n-1)) + AXXXXXX(a(n-2)).
2. a(0)=1. a(n) = AXXXXXX(a(n-1)) + n. 
3. Numbers n such that the string n9111 is prime.
4. Number of distinct prime divisors of 77...771 (with n 7s).
5. Number of distinct prime divisors of 66...661 (with n 6s). 
6. Numbers n such that (3*n^2) + 25 is prime.
7. Numbers n such that (3*n^2) + 64 is prime.
8. Numbers n such that (23*n^2) - 4 is prime.
9. Numbers n such that 2n + 11 is prime.
10. Numbers n such that (11*n + 97) is prime.
11. Numbers n such that 1009*n + 10007 is prime. 
12. 2^p + 3^p + 5^p + 7^p where p = prime(n). 
13. 2^(3p + 1) where p is prime.
14. a(0)=2, a(n)=3*a(n-1)-3.
15. Indices of terms in AXXXXXX which are prime numbers.

None of these sequences is connected with other sequences
(except in the definition) and none of them counts other
objects as well (except "Also numbers such that 10000*n+9111
is prime" for the 3rd sequence!).

Emeric





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