What is the 3727th prime number?
The 3727th prime number is 34919. The next prime is 34939 (a gap of 20) and the one before is 34913.
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 3727th one is 34919.
- 2
34919 is prime because no prime up to ā34919 ā 186.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3727th prime is close to 3727 Ć ln(3727) ā 30648, and here it is 34919.
- 4
34919 has no twin: neither 34917 nor 34921 is prime.
Primes around the 3727th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3724 | 34883 | 6 |
| 3725 | 34897 | 14 |
| 3726 | 34913 | 16 |
| 3727 | 34919 | 6 |
| 3728 | 34939 | 20 |
| 3729 | 34949 | 10 |
| 3730 | 34961 | 12 |
Questions
What is the 3727th prime number?
34919.
Which prime number is 34919?
34919 is the 3727th prime number.
What is the sum of the first 3727 primes?
61,330,320.