What is the 2077th prime number?
The 2077th prime number is 18127. The next prime is 18131 (a gap of 4) and the one before is 18121.
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 2077th one is 18127.
- 2
18127 is prime because no prime up to ā18127 ā 134.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2077th prime is close to 2077 Ć ln(2077) ā 15866, and here it is 18127.
- 4
18127 has no twin: neither 18125 nor 18129 is prime.
Primes around the 2077th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2074 | 18097 | 8 |
| 2075 | 18119 | 22 |
| 2076 | 18121 | 2 |
| 2077 | 18127 | 6 |
| 2078 | 18131 | 4 |
| 2079 | 18133 | 2 |
| 2080 | 18143 | 10 |
Questions
What is the 2077th prime number?
18127.
Which prime number is 18127?
18127 is the 2077th prime number.
What is the sum of the first 2077 primes?
17,642,280.