What is the 3402nd prime number?
The 3402nd prime number is 31627. The next prime is 31643 (a gap of 16) and the one before is 31607.
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 3402nd one is 31627.
- 2
31627 is prime because no prime up to ā31627 ā 177.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3402nd prime is close to 3402 Ć ln(3402) ā 27665, and here it is 31627.
- 4
31627 has no twin: neither 31625 nor 31629 is prime.
Primes around the 3402nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3399 | 31583 | 10 |
| 3400 | 31601 | 18 |
| 3401 | 31607 | 6 |
| 3402 | 31627 | 20 |
| 3403 | 31643 | 16 |
| 3404 | 31649 | 6 |
| 3405 | 31657 | 8 |
Questions
What is the 3402nd prime number?
31627.
Which prime number is 31627?
31627 is the 3402nd prime number.
What is the sum of the first 3402 primes?
50,513,605.