What is the 7138th prime number?
The 7138th prime number is 72101. The next prime is 72103 (a gap of 2) and the one before is 72091.
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 7138th one is 72101.
- 2
72101 is prime because no prime up to ā72101 ā 268.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7138th prime is close to 7138 Ć ln(7138) ā 63337, and here it is 72101.
- 4
72101 is a twin prime: 72101 and 72103 are both prime.
Primes around the 7138th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7135 | 72077 | 4 |
| 7136 | 72089 | 12 |
| 7137 | 72091 | 2 |
| 7138 | 72101 | 10 |
| 7139 | 72103 | 2 |
| 7140 | 72109 | 6 |
| 7141 | 72139 | 30 |
Questions
What is the 7138th prime number?
72101.
Which prime number is 72101?
72101 is the 7138th prime number.
What is the sum of the first 7138 primes?
243,314,285.