What is the 3730th prime number?
The 3730th prime number is 34961. The next prime is 34963 (a gap of 2) and the one before is 34949.
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 3730th one is 34961.
- 2
34961 is prime because no prime up to ā34961 ā 186.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3730th prime is close to 3730 Ć ln(3730) ā 30676, and here it is 34961.
- 4
34961 is a twin prime: 34961 and 34963 are both prime.
Primes around the 3730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3727 | 34919 | 6 |
| 3728 | 34939 | 20 |
| 3729 | 34949 | 10 |
| 3730 | 34961 | 12 |
| 3731 | 34963 | 2 |
| 3732 | 34981 | 18 |
| 3733 | 35023 | 42 |
Questions
What is the 3730th prime number?
34961.
Which prime number is 34961?
34961 is the 3730th prime number.
What is the sum of the first 3730 primes?
61,435,169.