What is the 1863rd prime number?
The 1863rd prime number is 16001. The next prime is 16007 (a gap of 6) and the one before is 15991.
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 1863rd one is 16001.
- 2
16001 is prime because no prime up to ā16001 ā 126.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1863rd prime is close to 1863 Ć ln(1863) ā 14028, and here it is 16001.
- 4
16001 has no twin: neither 15999 nor 16003 is prime.
Primes around the 1863rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1860 | 15971 | 12 |
| 1861 | 15973 | 2 |
| 1862 | 15991 | 18 |
| 1863 | 16001 | 10 |
| 1864 | 16007 | 6 |
| 1865 | 16033 | 26 |
| 1866 | 16057 | 24 |
Questions
What is the 1863rd prime number?
16001.
Which prime number is 16001?
16001 is the 1863rd prime number.
What is the sum of the first 1863 primes?
13,985,506.