What is the 3720th prime number?
The 3720th prime number is 34847. The next prime is 34849 (a gap of 2) and the one before is 34843.
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 3720th one is 34847.
- 2
34847 is prime because no prime up to ā34847 ā 186.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3720th prime is close to 3720 Ć ln(3720) ā 30584, and here it is 34847.
- 4
34847 is a twin prime: 34847 and 34849 are both prime.
Primes around the 3720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3717 | 34819 | 12 |
| 3718 | 34841 | 22 |
| 3719 | 34843 | 2 |
| 3720 | 34847 | 4 |
| 3721 | 34849 | 2 |
| 3722 | 34871 | 22 |
| 3723 | 34877 | 6 |
Questions
What is the 3720th prime number?
34847.
Which prime number is 34847?
34847 is the 3720th prime number.
What is the sum of the first 3720 primes?
61,086,111.