What is the 3742nd prime number?
The 3742nd prime number is 35099. The next prime is 35107 (a gap of 8) and the one before is 35089.
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 3742nd one is 35099.
- 2
35099 is prime because no prime up to ā35099 ā 187.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3742nd prime is close to 3742 Ć ln(3742) ā 30787, and here it is 35099.
- 4
35099 has no twin: neither 35097 nor 35101 is prime.
Primes around the 3742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3739 | 35081 | 12 |
| 3740 | 35083 | 2 |
| 3741 | 35089 | 6 |
| 3742 | 35099 | 10 |
| 3743 | 35107 | 8 |
| 3744 | 35111 | 4 |
| 3745 | 35117 | 6 |
Questions
What is the 3742nd prime number?
35099.
Which prime number is 35099?
35099 is the 3742nd prime number.
What is the sum of the first 3742 primes?
61,855,747.