Generator Entry

Additive Primes and their Indices

These primes are of the type that the sum of their digits also add up to prime number. For example, 23 is an additive prime since 2 + 3 = 5 is a prime, but 19 is not an additive prime because 1 + 9 = 10 is a composite.

Table of Additive primes*

IndexAdditive Prime
12
23
35
47
“ 
1267
“ 
19139
42359
5489127


In the above table we see that the 19th additive prime is 139 and 139 is the number of letters in the first chapter in the Quran called the “Opener”. The 42nd additive prime is 359 which is actually the 19th “Emirp”. We do have the following relation.

19 × 42 = 798 which is the frequency of K, Ha, Ya, Ain, S is sura 19.

The 548th additive prime is 9127 and the 548th composite is 670. A look at the number of verses in the un-initialed suras in the Quran reveals that 670th such verse is 9:127.