What is the 4367th prime number?
The 4367th prime number is 41761. The next prime is 41771 (a gap of 10) and the one before is 41759.
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 4367th one is 41761.
- 2
41761 is prime because no prime up to ā41761 ā 204.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4367th prime is close to 4367 Ć ln(4367) ā 36603, and here it is 41761.
- 4
41761 is a twin prime: 41759 and 41761 are both prime.
Primes around the 4367th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4364 | 41729 | 10 |
| 4365 | 41737 | 8 |
| 4366 | 41759 | 22 |
| 4367 | 41761 | 2 |
| 4368 | 41771 | 10 |
| 4369 | 41777 | 6 |
| 4370 | 41801 | 24 |
Questions
What is the 4367th prime number?
41761.
Which prime number is 41761?
41761 is the 4367th prime number.
What is the sum of the first 4367 primes?
85,880,054.