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A344561 as a simple table

na(n)
12
23
37
443
577659
621108889701347407
75474088843701260097485589623
85474159333397668466502066699
9560801733392464138933367984275204243901675413919952459680492377203567758118343740900139639
101872705977981591020313336244505607714217889071693212286852076373413830346691635632706249598340007

[2,3,7,43,77659,21108889701347407,
 5474088843701260097485589623,
 5474159333397668466502066699,
 56080173339246413893336798427520424390167541391995\
 2459680492377203567758118343740900139639,
 18727059779815910203133362445056077142178890716932\
 12286852076373413830346691635632706249598340007]