What is the 6505th prime number?
The 6505th prime number is 65111. The next prime is 65119 (a gap of 8) and the one before is 65101.
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 6505th one is 65111.
- 2
65111 is prime because no prime up to ā65111 ā 255.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6505th prime is close to 6505 Ć ln(6505) ā 57116, and here it is 65111.
- 4
65111 has no twin: neither 65109 nor 65113 is prime.
Primes around the 6505th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6502 | 65089 | 18 |
| 6503 | 65099 | 10 |
| 6504 | 65101 | 2 |
| 6505 | 65111 | 10 |
| 6506 | 65119 | 8 |
| 6507 | 65123 | 4 |
| 6508 | 65129 | 6 |
Questions
What is the 6505th prime number?
65111.
Which prime number is 65111?
65111 is the 6505th prime number.
What is the sum of the first 6505 primes?
199,871,702.