Sunday, October 23, 2016

Fun with Primes: Sum of Primes

Fun with Primes:  Sum of Primes

Primes Composed of a Sum of Primes

Separated by 2

5 = 2 + 3
7 = 2 + 5
13 = 2 + 11
19 = 2 + 17
43 = 2 + 41
61 = 2 + 59
151 = 2 + 149
193 = 2 + 191

Other Sums

23 = 2 + 3 + 5 + 13
31 = 7 + 11 + 13
47 = 5 + 19 + 23
59 = 7 + 23 +29
71 = 3 + 31 +37
79 = 13 + 19 +47
79 = 5 + 31 +43
83 = 11 + 31+ 41
101 = 3 + 31 + 67
107 = 19 + 29 +59
109 = 3 + 47+ 59
113 = 11 + 41 +61
127 = 17 + 43 + 67
127 = 2 + 29 + 37 + 59
131 = 41 + 43 + 47
151 = 11 + 67 + 73
157 = 13 + 47 + 97
173 = 43 + 59 + 71
199 = 43 + 47 + 109
223 = 71 + 73 + 79
233 = 59 + 67 + 107
311 = 29 + 47 + 59 + 67 + 109

Primes Composed of a Sum and Product of Primes

31 = 2 * 5 + 7 * 3
43 = 17 + 2 * 13
47 = 2 * 7 + 3 * 11
61 = 2 * 11 + 3 *13
79 = 2 * 7 + 5 * 13
83 = 47 + 2 * (5 + 13)
89 = 7 + 2 * 41
149 = 2 * 17 + 5 * 23
149 = 2 * 59 + 31
163 = 2 + 7 * 23

What other combinations you find? 

Eddie

This blog is property of Edward Shore, 2016.



2 comments:

  1. Thank you for the info. It sounds pretty user friendly. I guess I’ll pick one up for fun. thank u.

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  2. Nice, you didn't add up the 11, 3+3+3+2. I assume that every prime (and reciproral prime) can be formed by the sum of the first two primes, (no matter if it is the old defunct 1,2 or current 2,3). The interesting would be read the analyse of the summations of the primes as do they form any form of pattern or not (propably not). Didn't knew that the 5 is only one ending to 5, interesting.

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