What is the 3739th prime number?
The 3739th prime number is 35081. The next prime is 35083 (a gap of 2) and the one before is 35069.
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 3739th one is 35081.
- 2
35081 is prime because no prime up to ā35081 ā 187.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3739th prime is close to 3739 Ć ln(3739) ā 30759, and here it is 35081.
- 4
35081 is a twin prime: 35081 and 35083 are both prime.
Primes around the 3739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3736 | 35053 | 2 |
| 3737 | 35059 | 6 |
| 3738 | 35069 | 10 |
| 3739 | 35081 | 12 |
| 3740 | 35083 | 2 |
| 3741 | 35089 | 6 |
| 3742 | 35099 | 10 |
Questions
What is the 3739th prime number?
35081.
Which prime number is 35081?
35081 is the 3739th prime number.
What is the sum of the first 3739 primes?
61,750,476.