What is the 3745th prime number?
The 3745th prime number is 35117. The next prime is 35129 (a gap of 12) and the one before is 35111.
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 3745th one is 35117.
- 2
35117 is prime because no prime up to ā35117 ā 187.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3745th prime is close to 3745 Ć ln(3745) ā 30815, and here it is 35117.
- 4
35117 has no twin: neither 35115 nor 35119 is prime.
Primes around the 3745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3742 | 35099 | 10 |
| 3743 | 35107 | 8 |
| 3744 | 35111 | 4 |
| 3745 | 35117 | 6 |
| 3746 | 35129 | 12 |
| 3747 | 35141 | 12 |
| 3748 | 35149 | 8 |
Questions
What is the 3745th prime number?
35117.
Which prime number is 35117?
35117 is the 3745th prime number.
What is the sum of the first 3745 primes?
61,961,082.