What is the 4391st prime number?
The 4391st prime number is 41983. The next prime is 41999 (a gap of 16) and the one before is 41981.
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 4391st one is 41983.
- 2
41983 is prime because no prime up to ā41983 ā 204.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4391st prime is close to 4391 Ć ln(4391) ā 36829, and here it is 41983.
- 4
41983 is a twin prime: 41981 and 41983 are both prime.
Primes around the 4391st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4388 | 41959 | 2 |
| 4389 | 41969 | 10 |
| 4390 | 41981 | 12 |
| 4391 | 41983 | 2 |
| 4392 | 41999 | 16 |
| 4393 | 42013 | 14 |
| 4394 | 42017 | 4 |
Questions
What is the 4391st prime number?
41983.
Which prime number is 41983?
41983 is the 4391st prime number.
What is the sum of the first 4391 primes?
86,885,418.