What is the 3726th prime number?
The 3726th prime number is 34913. The next prime is 34919 (a gap of 6) and the one before is 34897.
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 3726th one is 34913.
- 2
34913 is prime because no prime up to ā34913 ā 186.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3726th prime is close to 3726 Ć ln(3726) ā 30639, and here it is 34913.
- 4
34913 has no twin: neither 34911 nor 34915 is prime.
Primes around the 3726th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3723 | 34877 | 6 |
| 3724 | 34883 | 6 |
| 3725 | 34897 | 14 |
| 3726 | 34913 | 16 |
| 3727 | 34919 | 6 |
| 3728 | 34939 | 20 |
| 3729 | 34949 | 10 |
Questions
What is the 3726th prime number?
34913.
Which prime number is 34913?
34913 is the 3726th prime number.
What is the sum of the first 3726 primes?
61,295,401.