What is the 4699th prime number?
The 4699th prime number is 45293. The next prime is 45307 (a gap of 14) and the one before is 45289.
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 4699th one is 45293.
- 2
45293 is prime because no prime up to ā45293 ā 212.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4699th prime is close to 4699 Ć ln(4699) ā 39731, and here it is 45293.
- 4
45293 has no twin: neither 45291 nor 45295 is prime.
Primes around the 4699th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4696 | 45263 | 4 |
| 4697 | 45281 | 18 |
| 4698 | 45289 | 8 |
| 4699 | 45293 | 4 |
| 4700 | 45307 | 14 |
| 4701 | 45317 | 10 |
| 4702 | 45319 | 2 |
Questions
What is the 4699th prime number?
45293.
Which prime number is 45293?
45293 is the 4699th prime number.
What is the sum of the first 4699 primes?
100,317,242.