What is the 4605th prime number?
The 4605th prime number is 44257. The next prime is 44263 (a gap of 6) and the one before is 44249.
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 4605th one is 44257.
- 2
44257 is prime because no prime up to ā44257 ā 210.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4605th prime is close to 4605 Ć ln(4605) ā 38843, and here it is 44257.
- 4
44257 has no twin: neither 44255 nor 44259 is prime.
Primes around the 4605th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4602 | 44207 | 4 |
| 4603 | 44221 | 14 |
| 4604 | 44249 | 28 |
| 4605 | 44257 | 8 |
| 4606 | 44263 | 6 |
| 4607 | 44267 | 4 |
| 4608 | 44269 | 2 |
Questions
What is the 4605th prime number?
44257.
Which prime number is 44257?
44257 is the 4605th prime number.
What is the sum of the first 4605 primes?
96,108,608.