What is the 3729th prime number?
The 3729th prime number is 34949. The next prime is 34961 (a gap of 12) and the one before is 34939.
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 3729th one is 34949.
- 2
34949 is prime because no prime up to ā34949 ā 186.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3729th prime is close to 3729 Ć ln(3729) ā 30667, and here it is 34949.
- 4
34949 has no twin: neither 34947 nor 34951 is prime.
Primes around the 3729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3726 | 34913 | 16 |
| 3727 | 34919 | 6 |
| 3728 | 34939 | 20 |
| 3729 | 34949 | 10 |
| 3730 | 34961 | 12 |
| 3731 | 34963 | 2 |
| 3732 | 34981 | 18 |
Questions
What is the 3729th prime number?
34949.
Which prime number is 34949?
34949 is the 3729th prime number.
What is the sum of the first 3729 primes?
61,400,208.