What is the 4337th prime number?
The 4337th prime number is 41467. The next prime is 41479 (a gap of 12) and the one before is 41453.
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 4337th one is 41467.
- 2
41467 is prime because no prime up to ā41467 ā 203.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4337th prime is close to 4337 Ć ln(4337) ā 36322, and here it is 41467.
- 4
41467 has no twin: neither 41465 nor 41469 is prime.
Primes around the 4337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4334 | 41413 | 2 |
| 4335 | 41443 | 30 |
| 4336 | 41453 | 10 |
| 4337 | 41467 | 14 |
| 4338 | 41479 | 12 |
| 4339 | 41491 | 12 |
| 4340 | 41507 | 16 |
Questions
What is the 4337th prime number?
41467.
Which prime number is 41467?
41467 is the 4337th prime number.
What is the sum of the first 4337 primes?
84,631,596.