What is the 4352nd prime number?
The 4352nd prime number is 41611. The next prime is 41617 (a gap of 6) and the one before is 41609.
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 4352nd one is 41611.
- 2
41611 is prime because no prime up to ā41611 ā 203.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4352nd prime is close to 4352 Ć ln(4352) ā 36463, and here it is 41611.
- 4
41611 is a twin prime: 41609 and 41611 are both prime.
Primes around the 4352nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4349 | 41597 | 4 |
| 4350 | 41603 | 6 |
| 4351 | 41609 | 6 |
| 4352 | 41611 | 2 |
| 4353 | 41617 | 6 |
| 4354 | 41621 | 4 |
| 4355 | 41627 | 6 |
Questions
What is the 4352nd prime number?
41611.
Which prime number is 41611?
41611 is the 4352nd prime number.
What is the sum of the first 4352 primes?
85,254,849.