What is the 7127th prime number?
The 7127th prime number is 71993. The next prime is 71999 (a gap of 6) and the one before is 71987.
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 7127th one is 71993.
- 2
71993 is prime because no prime up to ā71993 ā 268.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7127th prime is close to 7127 Ć ln(7127) ā 63228, and here it is 71993.
- 4
71993 has no twin: neither 71991 nor 71995 is prime.
Primes around the 7127th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7124 | 71971 | 8 |
| 7125 | 71983 | 12 |
| 7126 | 71987 | 4 |
| 7127 | 71993 | 6 |
| 7128 | 71999 | 6 |
| 7129 | 72019 | 20 |
| 7130 | 72031 | 12 |
Questions
What is the 7127th prime number?
71993.
Which prime number is 71993?
71993 is the 7127th prime number.
What is the sum of the first 7127 primes?
242,521,662.