What is the 3741st prime number?
The 3741st prime number is 35089. The next prime is 35099 (a gap of 10) and the one before is 35083.
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 3741st one is 35089.
- 2
35089 is prime because no prime up to ā35089 ā 187.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3741st prime is close to 3741 Ć ln(3741) ā 30778, and here it is 35089.
- 4
35089 has no twin: neither 35087 nor 35091 is prime.
Primes around the 3741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3738 | 35069 | 10 |
| 3739 | 35081 | 12 |
| 3740 | 35083 | 2 |
| 3741 | 35089 | 6 |
| 3742 | 35099 | 10 |
| 3743 | 35107 | 8 |
| 3744 | 35111 | 4 |
Questions
What is the 3741st prime number?
35089.
Which prime number is 35089?
35089 is the 3741st prime number.
What is the sum of the first 3741 primes?
61,820,648.