What is the 2141st prime number?
The 2141st prime number is 18757. The next prime is 18773 (a gap of 16) and the one before is 18749.
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 2141st one is 18757.
- 2
18757 is prime because no prime up to ā18757 ā 136.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2141st prime is close to 2141 Ć ln(2141) ā 16419, and here it is 18757.
- 4
18757 has no twin: neither 18755 nor 18759 is prime.
Primes around the 2141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2138 | 18731 | 12 |
| 2139 | 18743 | 12 |
| 2140 | 18749 | 6 |
| 2141 | 18757 | 8 |
| 2142 | 18773 | 16 |
| 2143 | 18787 | 14 |
| 2144 | 18793 | 6 |
Questions
What is the 2141st prime number?
18757.
Which prime number is 18757?
18757 is the 2141st prime number.
What is the sum of the first 2141 primes?
18,821,492.