What is the 2071st prime number?
The 2071st prime number is 18061. The next prime is 18077 (a gap of 16) and the one before is 18059.
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 2071st one is 18061.
- 2
18061 is prime because no prime up to ā18061 ā 134.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2071st prime is close to 2071 Ć ln(2071) ā 15814, and here it is 18061.
- 4
18061 is a twin prime: 18059 and 18061 are both prime.
Primes around the 2071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2068 | 18047 | 4 |
| 2069 | 18049 | 2 |
| 2070 | 18059 | 10 |
| 2071 | 18061 | 2 |
| 2072 | 18077 | 16 |
| 2073 | 18089 | 12 |
| 2074 | 18097 | 8 |
Questions
What is the 2071st prime number?
18061.
Which prime number is 18061?
18061 is the 2071st prime number.
What is the sum of the first 2071 primes?
17,533,650.