What is the 3746th prime number?
The 3746th prime number is 35129. The next prime is 35141 (a gap of 12) and the one before is 35117.
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 3746th one is 35129.
- 2
35129 is prime because no prime up to ā35129 ā 187.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3746th prime is close to 3746 Ć ln(3746) ā 30824, and here it is 35129.
- 4
35129 has no twin: neither 35127 nor 35131 is prime.
Primes around the 3746th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3743 | 35107 | 8 |
| 3744 | 35111 | 4 |
| 3745 | 35117 | 6 |
| 3746 | 35129 | 12 |
| 3747 | 35141 | 12 |
| 3748 | 35149 | 8 |
| 3749 | 35153 | 4 |
Questions
What is the 3746th prime number?
35129.
Which prime number is 35129?
35129 is the 3746th prime number.
What is the sum of the first 3746 primes?
61,996,211.