What is the 4364th prime number?
The 4364th prime number is 41729. The next prime is 41737 (a gap of 8) and the one before is 41719.
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 4364th one is 41729.
- 2
41729 is prime because no prime up to ā41729 ā 204.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4364th prime is close to 4364 Ć ln(4364) ā 36575, and here it is 41729.
- 4
41729 has no twin: neither 41727 nor 41731 is prime.
Primes around the 4364th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4361 | 41681 | 12 |
| 4362 | 41687 | 6 |
| 4363 | 41719 | 32 |
| 4364 | 41729 | 10 |
| 4365 | 41737 | 8 |
| 4366 | 41759 | 22 |
| 4367 | 41761 | 2 |
Questions
What is the 4364th prime number?
41729.
Which prime number is 41729?
41729 is the 4364th prime number.
What is the sum of the first 4364 primes?
85,754,797.