What is the 3738th prime number?
The 3738th prime number is 35069. The next prime is 35081 (a gap of 12) and the one before is 35059.
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 3738th one is 35069.
- 2
35069 is prime because no prime up to ā35069 ā 187.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3738th prime is close to 3738 Ć ln(3738) ā 30750, and here it is 35069.
- 4
35069 has no twin: neither 35067 nor 35071 is prime.
Primes around the 3738th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3735 | 35051 | 24 |
| 3736 | 35053 | 2 |
| 3737 | 35059 | 6 |
| 3738 | 35069 | 10 |
| 3739 | 35081 | 12 |
| 3740 | 35083 | 2 |
| 3741 | 35089 | 6 |
Questions
What is the 3738th prime number?
35069.
Which prime number is 35069?
35069 is the 3738th prime number.
What is the sum of the first 3738 primes?
61,715,395.