What is the 4613th prime number?
The 4613th prime number is 44351. The next prime is 44357 (a gap of 6) and the one before is 44293.
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 4613th one is 44351.
- 2
44351 is prime because no prime up to ā44351 ā 210.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4613th prime is close to 4613 Ć ln(4613) ā 38918, and here it is 44351.
- 4
44351 has no twin: neither 44349 nor 44353 is prime.
Primes around the 4613th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4610 | 44279 | 6 |
| 4611 | 44281 | 2 |
| 4612 | 44293 | 12 |
| 4613 | 44351 | 58 |
| 4614 | 44357 | 6 |
| 4615 | 44371 | 14 |
| 4616 | 44381 | 10 |
Questions
What is the 4613th prime number?
44351.
Which prime number is 44351?
44351 is the 4613th prime number.
What is the sum of the first 4613 primes?
96,462,884.