Sunday, March 27, 2011

Consecutive numbers and consecutive prime factors

http://www.primepuzzles.net/puzzles/puzz_240.htm

Example:

384 = 2^7 * 3 .................................... 385 = 5 * 7 * 11

539 = 7^2 * 11 ................................... 540 = 2^2 * 3^3 * 5

Montessori : Education, Philosophy and Experiences

Google Founders discuss their experience as Montessori students

Proof that 22/7 exceeds π

http://en.wikipedia.org/wiki/Proof_that_22/7_exceeds_%CF%80


22/7 - π

π - 223/71


A history of π


Feynman point


Saturday, March 26, 2011

Am I in Pi ?

http://www.facade.com/legacy/amiinpi/


Conjecture about sum of primes

1 + 2 + 2^2 + 2^3 + 2^4 = 1 + 5 + 5^2 = 31


Is this the only sum of this kind, using prime numbers?

(2) research with .... a + p + p^2 + p^3 + .... = a + ....

Squares which remain squares if you increment every digit by 1

http://oeis.org/A061843

0
25
2025
13225
4862025
60415182025
207612366025
153668543313582025
13876266042653742025
20761288044852366025
47285734107144405625
406066810454367265225
141704161680410868660551655625