What is the 2076th prime number?
The 2076th prime number is 18121. The next prime is 18127 (a gap of 6) and the one before is 18119.
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 2076th one is 18121.
- 2
18121 is prime because no prime up to ā18121 ā 134.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2076th prime is close to 2076 Ć ln(2076) ā 15857, and here it is 18121.
- 4
18121 is a twin prime: 18119 and 18121 are both prime.
Primes around the 2076th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2073 | 18089 | 12 |
| 2074 | 18097 | 8 |
| 2075 | 18119 | 22 |
| 2076 | 18121 | 2 |
| 2077 | 18127 | 6 |
| 2078 | 18131 | 4 |
| 2079 | 18133 | 2 |
Questions
What is the 2076th prime number?
18121.
Which prime number is 18121?
18121 is the 2076th prime number.
What is the sum of the first 2076 primes?
17,624,153.