What is the 3743rd prime number?
The 3743rd prime number is 35107. The next prime is 35111 (a gap of 4) and the one before is 35099.
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 3743rd one is 35107.
- 2
35107 is prime because no prime up to ā35107 ā 187.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3743rd prime is close to 3743 Ć ln(3743) ā 30796, and here it is 35107.
- 4
35107 has no twin: neither 35105 nor 35109 is prime.
Primes around the 3743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3740 | 35083 | 2 |
| 3741 | 35089 | 6 |
| 3742 | 35099 | 10 |
| 3743 | 35107 | 8 |
| 3744 | 35111 | 4 |
| 3745 | 35117 | 6 |
| 3746 | 35129 | 12 |
Questions
What is the 3743rd prime number?
35107.
Which prime number is 35107?
35107 is the 3743rd prime number.
What is the sum of the first 3743 primes?
61,890,854.