What is the 4366th prime number?
The 4366th prime number is 41759. The next prime is 41761 (a gap of 2) and the one before is 41737.
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 4366th one is 41759.
- 2
41759 is prime because no prime up to ā41759 ā 204.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4366th prime is close to 4366 Ć ln(4366) ā 36594, and here it is 41759.
- 4
41759 is a twin prime: 41759 and 41761 are both prime.
Primes around the 4366th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4363 | 41719 | 32 |
| 4364 | 41729 | 10 |
| 4365 | 41737 | 8 |
| 4366 | 41759 | 22 |
| 4367 | 41761 | 2 |
| 4368 | 41771 | 10 |
| 4369 | 41777 | 6 |
Questions
What is the 4366th prime number?
41759.
Which prime number is 41759?
41759 is the 4366th prime number.
What is the sum of the first 4366 primes?
85,838,293.