What is the 3740th prime number?
The 3740th prime number is 35083. The next prime is 35089 (a gap of 6) and the one before is 35081.
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 3740th one is 35083.
- 2
35083 is prime because no prime up to ā35083 ā 187.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3740th prime is close to 3740 Ć ln(3740) ā 30768, and here it is 35083.
- 4
35083 is a twin prime: 35081 and 35083 are both prime.
Primes around the 3740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3737 | 35059 | 6 |
| 3738 | 35069 | 10 |
| 3739 | 35081 | 12 |
| 3740 | 35083 | 2 |
| 3741 | 35089 | 6 |
| 3742 | 35099 | 10 |
| 3743 | 35107 | 8 |
Questions
What is the 3740th prime number?
35083.
Which prime number is 35083?
35083 is the 3740th prime number.
What is the sum of the first 3740 primes?
61,785,559.