Difference between revisions of "Proth prime 7 4"

Latest revision as of 01:37, 18 September 2024

Reserved! This sequence is currently reserved by: Ryan Propper

`k` , `b` :	4 , 7
Count :	26
Nash :	3135
Max `n` :	300,000
Date :	2024-09-18
Reserved :	Ryan PropperRyan Propper/Reserved

1, 2, 3, 6, 7, 10, 11, 17, 38, 65, 133, 150, 502, 537, 894, 6442, 16474, 23642, 40894, 94133, 101335, 135737, 224437, 254621, 266782, 1640811

Remarks :

sequence A204323 in OEIS
For all even n-values 4•7ⁿ+1 is a Generalized Fermat number.

2020-09-18: Found n = 1640811, Ryan Propper
2020-09-17: Reserved by Ryan Propper to n = 3000000
2024-09-16: Checked n = 1 - 300000, Gary Barnes, double-check n = 1 - 41500, released
2020-07-21: Checked n = 1 - 41500, Paul Vanderveen
2009-12-24: Found n = 266782, Brian Lody
2009-12-22: Found n = 254621, Brian Lody
2004-03-01: Found n = 94133, Peter Benson
1998-11-18: Found n = 16474, David W. Linton

@@ Line 1: / Line 1: @@
-{{Gen Proth prime
+{{Proth prime
-|GPk=4
+|Pk=4
-|GPCount=20
+|Pb=7
-|GPNash=3135
+|PCount=26
-|GPMaxn=10000
+|PNash=3135
-|GPDate=2020-07-21
+|PMaxn=300000
-|GPReserved=Paul Vanderveen
+|PDate=2024-09-18
-|GPMultiRes=
+|PReserved=Ryan Propper
-|GPNlist=
+|PMultiRes=
+|PNlist=
@@ Line 25: / Line 26: @@
 ;13415
 ;69042
 ;91232
 ;91244
-|GPRemarks=
+1640811;138542
-|GPSieve=
+|PRemarks={{OEIS|l|A204323}}<br>For all even {{Vn}}-values {{Kbn|+|4|7|n}} is a [[Generalized Fermat number]].
+|PSieve=
 }}
 ==History==
-{{HistR|2020-07-21|Paul Vanderveen}}
+{{HistF|2020-09-18|1640811|Ryan Propper}}
+{{HistR|2020-09-17|Ryan Propper|1053969}} to {{Rn|3000000|3000000}}
+{{HistC|2024-09-16|1-300000|Gary Barnes|1053783}}, double-check {{Rn|1|41500}}, released
+{{HistC|2020-07-21|1-41500|Paul Vanderveen}}
 {{HistF|2009-12-24|266782|Brian Lody}}
 {{HistF|2009-12-22|254621|Brian Lody}}
 {{HistF|2004-03-01|94133|Peter Benson}}
 {{HistF|1998-11-18|16474|David W. Linton}}