What is the 2069th prime number?
The 2069th prime number is 18049. The next prime is 18059 (a gap of 10) and the one before is 18047.
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 2069th one is 18049.
- 2
18049 is prime because no prime up to ā18049 ā 134.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2069th prime is close to 2069 Ć ln(2069) ā 15796, and here it is 18049.
- 4
18049 is a twin prime: 18047 and 18049 are both prime.
Primes around the 2069th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2066 | 18041 | 28 |
| 2067 | 18043 | 2 |
| 2068 | 18047 | 4 |
| 2069 | 18049 | 2 |
| 2070 | 18059 | 10 |
| 2071 | 18061 | 2 |
| 2072 | 18077 | 16 |
Questions
What is the 2069th prime number?
18049.
Which prime number is 18049?
18049 is the 2069th prime number.
What is the sum of the first 2069 primes?
17,497,530.