What is the 3429th prime number?
The 3429th prime number is 31963. The next prime is 31973 (a gap of 10) and the one before is 31957.
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 3429th one is 31963.
- 2
31963 is prime because no prime up to ā31963 ā 178.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3429th prime is close to 3429 Ć ln(3429) ā 27912, and here it is 31963.
- 4
31963 has no twin: neither 31961 nor 31965 is prime.
Primes around the 3429th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3426 | 31891 | 8 |
| 3427 | 31907 | 16 |
| 3428 | 31957 | 50 |
| 3429 | 31963 | 6 |
| 3430 | 31973 | 10 |
| 3431 | 31981 | 8 |
| 3432 | 31991 | 10 |
Questions
What is the 3429th prime number?
31963.
Which prime number is 31963?
31963 is the 3429th prime number.
What is the sum of the first 3429 primes?
51,371,640.