SOLUTION: Start with smallest integer, p1 + p2 + p3 + p4....pn >2007 If p1 =1, p2 =2, p3=3, p4 =5...all are prime numbers. What is the value of pn?

 

Hi,

Re Reply: The sum needs to be calculated. 

p1 + p2 + p3 + p4....pn >2007 where  p1 =1

Below is a partial listing of 50 Prime Numbers (51 including 1)

p1 + p2 + p3 + p4....p35 > 2007

Adding those thru p35 = 139 gives a sum >2007 (2128) 

Adding those thru pn where n > 34 gives a sum >2007 

 1     

2      3      5      7     11     13     17     19     23     29 

31     37     41     43     47     53     59     61     67     71 

73     79     83     89     97    101    103    107    109    113 

127    131    137    149     151    157    163    167 173  179    181    191    193    197    199    211    223    227    229  ...