What is the 4701st prime number?
The 4701st prime number is 45317. The next prime is 45319 (a gap of 2) and the one before is 45307.
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 4701st one is 45317.
- 2
45317 is prime because no prime up to ā45317 ā 212.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4701st prime is close to 4701 Ć ln(4701) ā 39749, and here it is 45317.
- 4
45317 is a twin prime: 45317 and 45319 are both prime.
Primes around the 4701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4698 | 45289 | 8 |
| 4699 | 45293 | 4 |
| 4700 | 45307 | 14 |
| 4701 | 45317 | 10 |
| 4702 | 45319 | 2 |
| 4703 | 45329 | 10 |
| 4704 | 45337 | 8 |
Questions
What is the 4701st prime number?
45317.
Which prime number is 45317?
45317 is the 4701st prime number.
What is the sum of the first 4701 primes?
100,407,866.