What is the 4604th prime number?
The 4604th prime number is 44249. The next prime is 44257 (a gap of 8) and the one before is 44221.
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 4604th one is 44249.
- 2
44249 is prime because no prime up to ā44249 ā 210.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4604th prime is close to 4604 Ć ln(4604) ā 38833, and here it is 44249.
- 4
44249 has no twin: neither 44247 nor 44251 is prime.
Primes around the 4604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4601 | 44203 | 2 |
| 4602 | 44207 | 4 |
| 4603 | 44221 | 14 |
| 4604 | 44249 | 28 |
| 4605 | 44257 | 8 |
| 4606 | 44263 | 6 |
| 4607 | 44267 | 4 |
Questions
What is the 4604th prime number?
44249.
Which prime number is 44249?
44249 is the 4604th prime number.
What is the sum of the first 4604 primes?
96,064,351.