What is the 3721st prime number?
The 3721st prime number is 34849. The next prime is 34871 (a gap of 22) and the one before is 34847.
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 3721st one is 34849.
- 2
34849 is prime because no prime up to ā34849 ā 186.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3721st prime is close to 3721 Ć ln(3721) ā 30593, and here it is 34849.
- 4
34849 is a twin prime: 34847 and 34849 are both prime.
Primes around the 3721st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3718 | 34841 | 22 |
| 3719 | 34843 | 2 |
| 3720 | 34847 | 4 |
| 3721 | 34849 | 2 |
| 3722 | 34871 | 22 |
| 3723 | 34877 | 6 |
| 3724 | 34883 | 6 |
Questions
What is the 3721st prime number?
34849.
Which prime number is 34849?
34849 is the 3721st prime number.
What is the sum of the first 3721 primes?
61,120,960.