507995698619

This number is a prime.

                                                               50 7995698619

Start with the prime 507995698619. Add it with the two next primes to get a sum which is prime. Repeat. The first 10 sums are prime. This is the first case with more than 8.

                       Starting prime:       507995698619
+     507995698643 +     507995698669 =     1523987095931
+    1523987095949 +    1523987095957 =     4571961287837
+    4571961287923 +    4571961288017 =    13715883863777
+   13715883863789 +   13715883863827 =    41147651591393
+   41147651591411 +   41147651591443 =   123442954774247
+  123442954774259 +  123442954774291 =   370328864322797
+  370328864322847 +  370328864322887 =  1110986592968531
+ 1110986592968533 + 1110986592968633 =  3332959778905697
+ 3332959778905703 + 3332959778905711 =  9998879336717111
+ 9998879336717113 + 9998879336717129 = 29996638010151353