**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.

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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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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