What is the 2070th prime number?
The 2070th prime number is 18059. The next prime is 18061 (a gap of 2) and the one before is 18049.
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 2070th one is 18059.
- 2
18059 is prime because no prime up to ā18059 ā 134.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2070th prime is close to 2070 Ć ln(2070) ā 15805, and here it is 18059.
- 4
18059 is a twin prime: 18059 and 18061 are both prime.
Primes around the 2070th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2067 | 18043 | 2 |
| 2068 | 18047 | 4 |
| 2069 | 18049 | 2 |
| 2070 | 18059 | 10 |
| 2071 | 18061 | 2 |
| 2072 | 18077 | 16 |
| 2073 | 18089 | 12 |
Questions
What is the 2070th prime number?
18059.
Which prime number is 18059?
18059 is the 2070th prime number.
What is the sum of the first 2070 primes?
17,515,589.