What is the 6504th prime number?
The 6504th prime number is 65101. The next prime is 65111 (a gap of 10) and the one before is 65099.
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 6504th one is 65101.
- 2
65101 is prime because no prime up to ā65101 ā 255.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6504th prime is close to 6504 Ć ln(6504) ā 57106, and here it is 65101.
- 4
65101 is a twin prime: 65099 and 65101 are both prime.
Primes around the 6504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6501 | 65071 | 8 |
| 6502 | 65089 | 18 |
| 6503 | 65099 | 10 |
| 6504 | 65101 | 2 |
| 6505 | 65111 | 10 |
| 6506 | 65119 | 8 |
| 6507 | 65123 | 4 |
Questions
What is the 6504th prime number?
65101.
Which prime number is 65101?
65101 is the 6504th prime number.
What is the sum of the first 6504 primes?
199,806,591.