What is the 6502nd prime number?
The 6502nd prime number is 65089. The next prime is 65099 (a gap of 10) and the one before is 65071.
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 6502nd one is 65089.
- 2
65089 is prime because no prime up to ā65089 ā 255.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6502nd prime is close to 6502 Ć ln(6502) ā 57087, and here it is 65089.
- 4
65089 has no twin: neither 65087 nor 65091 is prime.
Primes around the 6502nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6499 | 65053 | 20 |
| 6500 | 65063 | 10 |
| 6501 | 65071 | 8 |
| 6502 | 65089 | 18 |
| 6503 | 65099 | 10 |
| 6504 | 65101 | 2 |
| 6505 | 65111 | 10 |
Questions
What is the 6502nd prime number?
65089.
Which prime number is 65089?
65089 is the 6502nd prime number.
What is the sum of the first 6502 primes?
199,676,391.