What is the 4704th prime number?
The 4704th prime number is 45337. The next prime is 45341 (a gap of 4) and the one before is 45329.
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 4704th one is 45337.
- 2
45337 is prime because no prime up to ā45337 ā 212.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4704th prime is close to 4704 Ć ln(4704) ā 39778, and here it is 45337.
- 4
45337 has no twin: neither 45335 nor 45339 is prime.
Primes around the 4704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4701 | 45317 | 10 |
| 4702 | 45319 | 2 |
| 4703 | 45329 | 10 |
| 4704 | 45337 | 8 |
| 4705 | 45341 | 4 |
| 4706 | 45343 | 2 |
| 4707 | 45361 | 18 |
Questions
What is the 4704th prime number?
45337.
Which prime number is 45337?
45337 is the 4704th prime number.
What is the sum of the first 4704 primes?
100,543,851.