What is the 4354th prime number?
The 4354th prime number is 41621. The next prime is 41627 (a gap of 6) and the one before is 41617.
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 4354th one is 41621.
- 2
41621 is prime because no prime up to ā41621 ā 204.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4354th prime is close to 4354 Ć ln(4354) ā 36482, and here it is 41621.
- 4
41621 has no twin: neither 41619 nor 41623 is prime.
Primes around the 4354th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4351 | 41609 | 6 |
| 4352 | 41611 | 2 |
| 4353 | 41617 | 6 |
| 4354 | 41621 | 4 |
| 4355 | 41627 | 6 |
| 4356 | 41641 | 14 |
| 4357 | 41647 | 6 |
Questions
What is the 4354th prime number?
41621.
Which prime number is 41621?
41621 is the 4354th prime number.
What is the sum of the first 4354 primes?
85,338,087.