What is the 3744th prime number?
The 3744th prime number is 35111. The next prime is 35117 (a gap of 6) and the one before is 35107.
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 3744th one is 35111.
- 2
35111 is prime because no prime up to ā35111 ā 187.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3744th prime is close to 3744 Ć ln(3744) ā 30805, and here it is 35111.
- 4
35111 has no twin: neither 35109 nor 35113 is prime.
Primes around the 3744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3741 | 35089 | 6 |
| 3742 | 35099 | 10 |
| 3743 | 35107 | 8 |
| 3744 | 35111 | 4 |
| 3745 | 35117 | 6 |
| 3746 | 35129 | 12 |
| 3747 | 35141 | 12 |
Questions
What is the 3744th prime number?
35111.
Which prime number is 35111?
35111 is the 3744th prime number.
What is the sum of the first 3744 primes?
61,925,965.