What is the 2072nd prime number?
The 2072nd prime number is 18077. The next prime is 18089 (a gap of 12) and the one before is 18061.
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 2072nd one is 18077.
- 2
18077 is prime because no prime up to ā18077 ā 134.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2072nd prime is close to 2072 Ć ln(2072) ā 15822, and here it is 18077.
- 4
18077 has no twin: neither 18075 nor 18079 is prime.
Primes around the 2072nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2069 | 18049 | 2 |
| 2070 | 18059 | 10 |
| 2071 | 18061 | 2 |
| 2072 | 18077 | 16 |
| 2073 | 18089 | 12 |
| 2074 | 18097 | 8 |
| 2075 | 18119 | 22 |
Questions
What is the 2072nd prime number?
18077.
Which prime number is 18077?
18077 is the 2072nd prime number.
What is the sum of the first 2072 primes?
17,551,727.