What is the 4351st prime number?
The 4351st prime number is 41609. The next prime is 41611 (a gap of 2) and the one before is 41603.
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 4351st one is 41609.
- 2
41609 is prime because no prime up to ā41609 ā 203.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4351st prime is close to 4351 Ć ln(4351) ā 36453, and here it is 41609.
- 4
41609 is a twin prime: 41609 and 41611 are both prime.
Primes around the 4351st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4348 | 41593 | 14 |
| 4349 | 41597 | 4 |
| 4350 | 41603 | 6 |
| 4351 | 41609 | 6 |
| 4352 | 41611 | 2 |
| 4353 | 41617 | 6 |
| 4354 | 41621 | 4 |
Questions
What is the 4351st prime number?
41609.
Which prime number is 41609?
41609 is the 4351st prime number.
What is the sum of the first 4351 primes?
85,213,238.