What is the 1877th prime number?
The 1877th prime number is 16127. The next prime is 16139 (a gap of 12) and the one before is 16111.
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 1877th one is 16127.
- 2
16127 is prime because no prime up to ā16127 ā 126.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1877th prime is close to 1877 Ć ln(1877) ā 14148, and here it is 16127.
- 4
16127 has no twin: neither 16125 nor 16129 is prime.
Primes around the 1877th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1874 | 16097 | 6 |
| 1875 | 16103 | 6 |
| 1876 | 16111 | 8 |
| 1877 | 16127 | 16 |
| 1878 | 16139 | 12 |
| 1879 | 16141 | 2 |
| 1880 | 16183 | 42 |
Questions
What is the 1877th prime number?
16127.
Which prime number is 16127?
16127 is the 1877th prime number.
What is the sum of the first 1877 primes?
14,210,552.