What is the 2061st prime number?
The 2061st prime number is 17977. The next prime is 17981 (a gap of 4) and the one before is 17971.
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 2061st one is 17977.
- 2
17977 is prime because no prime up to ā17977 ā 134.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2061st prime is close to 2061 Ć ln(2061) ā 15727, and here it is 17977.
- 4
17977 has no twin: neither 17975 nor 17979 is prime.
Primes around the 2061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2058 | 17957 | 18 |
| 2059 | 17959 | 2 |
| 2060 | 17971 | 12 |
| 2061 | 17977 | 6 |
| 2062 | 17981 | 4 |
| 2063 | 17987 | 6 |
| 2064 | 17989 | 2 |
Questions
What is the 2061st prime number?
17977.
Which prime number is 17977?
17977 is the 2061st prime number.
What is the sum of the first 2061 primes?
17,353,380.