What is the 6601st prime number?
The 6601st prime number is 66107. The next prime is 66109 (a gap of 2) and the one before is 66103.
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 6601st one is 66107.
- 2
66107 is prime because no prime up to ā66107 ā 257.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6601st prime is close to 6601 Ć ln(6601) ā 58056, and here it is 66107.
- 4
66107 is a twin prime: 66107 and 66109 are both prime.
Primes around the 6601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6598 | 66083 | 12 |
| 6599 | 66089 | 6 |
| 6600 | 66103 | 14 |
| 6601 | 66107 | 4 |
| 6602 | 66109 | 2 |
| 6603 | 66137 | 28 |
| 6604 | 66161 | 24 |
Questions
What is the 6601st prime number?
66107.
Which prime number is 66107?
66107 is the 6601st prime number.
What is the sum of the first 6601 primes?
206,170,336.