What is the 3431st prime number?
The 3431st prime number is 31981. The next prime is 31991 (a gap of 10) and the one before is 31973.
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 3431st one is 31981.
- 2
31981 is prime because no prime up to ā31981 ā 178.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3431st prime is close to 3431 Ć ln(3431) ā 27930, and here it is 31981.
- 4
31981 has no twin: neither 31979 nor 31983 is prime.
Primes around the 3431st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3428 | 31957 | 50 |
| 3429 | 31963 | 6 |
| 3430 | 31973 | 10 |
| 3431 | 31981 | 8 |
| 3432 | 31991 | 10 |
| 3433 | 32003 | 12 |
| 3434 | 32009 | 6 |
Questions
What is the 3431st prime number?
31981.
Which prime number is 31981?
31981 is the 3431st prime number.
What is the sum of the first 3431 primes?
51,435,594.