What is the 9902nd prime number?
The 9902nd prime number is 103619. The next prime is 103643 (a gap of 24) and the one before is 103613.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9902nd one is 103619.
- 2
103619 is prime because no prime up to ā103619 ā 321.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9902nd prime is close to 9902 Ć ln(9902) ā 91103, and here it is 103619.
- 4
103619 has no twin: neither 103617 nor 103621 is prime.
Primes around the 9902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9899 | 103583 | 6 |
| 9900 | 103591 | 8 |
| 9901 | 103613 | 22 |
| 9902 | 103619 | 6 |
| 9903 | 103643 | 24 |
| 9904 | 103651 | 8 |
| 9905 | 103657 | 6 |
Questions
What is the 9902nd prime number?
103619.
Which prime number is 103619?
103619 is the 9902nd prime number.
What is the sum of the first 9902 primes?
485,953,165.