What is the 7755th prime number?
The 7755th prime number is 79139. The next prime is 79147 (a gap of 8) and the one before is 79133.
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 7755th one is 79139.
- 2
79139 is prime because no prime up to ā79139 ā 281.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7755th prime is close to 7755 Ć ln(7755) ā 69455, and here it is 79139.
- 4
79139 has no twin: neither 79137 nor 79141 is prime.
Primes around the 7755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7752 | 79103 | 16 |
| 7753 | 79111 | 8 |
| 7754 | 79133 | 22 |
| 7755 | 79139 | 6 |
| 7756 | 79147 | 8 |
| 7757 | 79151 | 4 |
| 7758 | 79153 | 2 |
Questions
What is the 7755th prime number?
79139.
Which prime number is 79139?
79139 is the 7755th prime number.
What is the sum of the first 7755 primes?
289,962,936.