-- Jul 26, 2026 (Alfred Eichhorn) --

# via Kurt Beschorner
n=33083: c33083(1111111111......) = 6675715261589480685252905491003 * c33052(1664407584......)
# ECM B1=1e6, sigma=0:8131647610823038
n=70997: c70997(1111111111......) = 12569762063305598037002812395517 * c70965(8839555637......)
# ECM B1=1e6, sigma=0:7572621526288766
n=71011: c71011(1111111111......) = 994162421596480115595396227 * c70984(1117635395......)
# ECM B1=1e6, sigma=0:4672737597017891

-- Jul 12, 2026 (Daniel Vieira) --

# 56248*R(49081)+1 is proven prime.
# 56248*R(49081)+1 is the largest known proven prime of the form k*R(n)+/-1.

-- Jul 9, 2026 (Alfred Eichhorn) --

# via Kurt Beschorner
n=59809: c59809(1111111111......) = 2974461269600365487438093421721 * c59778(3735503711......)
# ECM B1=1e6, sigma=0:6930322239139690
n=62633: c62633(1111111111......) = 4770048381930236202807868411187 * c62602(2329349772......)
# ECM B1=1e6, sigma=0:4102478440982954
n=62987: c62987(1111111111......) = 285189180407754140621972589923 * c62957(3896049315......)
# ECM B1=1e6, sigma=0:4048756822361665
n=70039: c70039(1111111111......) = 4515288873284468441685842687867 * c70008(2460775251......)
# ECM B1=1e6, sigma=0:6070592813061543
n=70241: c70241(1111111111......) = 510387445962916661797514671 * c70214(2176995378......)
# ECM B1=1e6, sigma=0:582790225641299
# 221492 of 300000 Phi_n(10) factorizations were cracked.