## The Chinese Remainder Theorem . Goldbach's Conjecture (A) . Hardy-Littewood's Conjecture (A)

**Authors:** Tong Xin Ping

N = p_{i} + (N-p_{i}) = p+ (N-p). If p is congruent to N modulo p_{i}, Then (N-p) is a composite integer,
When i = 1, 2,..., r, if p and N are incongruent modulo p_{i}, Then p and (N-p) are solutions of Goldbach's
Conjecture (A); By Chinese Remainder Theorem we can calculate the primes and solutions of Goldbach's
Conjecture (A) with different system of congruence; The (N-p) must have solution of Goldbach's
Conjecture (A), The number of solutions of Goldbach's Conjecture (A) is increasing as N → ∞, and finding
unknown particulars for Hardy-Littewood's Conjecture (A).

**Comments:** recovered from sciprint.org

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### Submission history

[v1] 3 Jan 2009

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